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Finding the Fourth Proportional to 1,220.02, 1,830.15 and 398.31

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Solution

The fourth proportional to 1,220.02, 1,830.15 and 398.31 is: 597.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.02 : 1,830.15 = 398.31 : x
  2. Step 2: Convert to fraction form
    1,220.02/1,830.15 = 398.31/x
  3. Step 3: Cross multiply
    1,220.02x = 1,830.15 × 398.31
  4. Step 4: Simplify right side
    1,220.02x = 728,967.05
  5. Step 5: Solve for x
    x = 728,967.05/1,220.02
  6. Step 6: Final answer
    x = 597.50

Related Problems

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Half scale
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Double scale
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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.