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Finding the Fourth Proportional to 1,219.03, 1,829.06 and 397.55

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Solution

The fourth proportional to 1,219.03, 1,829.06 and 397.55 is: 596.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.03 : 1,829.06 = 397.55 : x
  2. Step 2: Convert to fraction form
    1,219.03/1,829.06 = 397.55/x
  3. Step 3: Cross multiply
    1,219.03x = 1,829.06 × 397.55
  4. Step 4: Simplify right side
    1,219.03x = 727,148.37
  5. Step 5: Solve for x
    x = 727,148.37/1,219.03
  6. Step 6: Final answer
    x = 596.50

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.