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Finding the Fourth Proportional to 487.92, 730.14 and 420.24

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Solution

The fourth proportional to 487.92, 730.14 and 420.24 is: 628.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.92 : 730.14 = 420.24 : x
  2. Step 2: Convert to fraction form
    487.92/730.14 = 420.24/x
  3. Step 3: Cross multiply
    487.92x = 730.14 × 420.24
  4. Step 4: Simplify right side
    487.92x = 306,834.03
  5. Step 5: Solve for x
    x = 306,834.03/487.92
  6. Step 6: Final answer
    x = 628.86

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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.