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Finding the Fourth Proportional to 1,219.65, 1,829.63 and 397.70

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Solution

The fourth proportional to 1,219.65, 1,829.63 and 397.70 is: 596.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,219.65 : 1,829.63 = 397.70 : x
  2. Step 2: Convert to fraction form
    1,219.65/1,829.63 = 397.70/x
  3. Step 3: Cross multiply
    1,219.65x = 1,829.63 × 397.70
  4. Step 4: Simplify right side
    1,219.65x = 727,643.85
  5. Step 5: Solve for x
    x = 727,643.85/1,219.65
  6. Step 6: Final answer
    x = 596.60

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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.