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Finding the Fourth Proportional to 487.92, 728.72 and 423.12

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Solution

The fourth proportional to 487.92, 728.72 and 423.12 is: 631.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.92 : 728.72 = 423.12 : x
  2. Step 2: Convert to fraction form
    487.92/728.72 = 423.12/x
  3. Step 3: Cross multiply
    487.92x = 728.72 × 423.12
  4. Step 4: Simplify right side
    487.92x = 308,336.01
  5. Step 5: Solve for x
    x = 308,336.01/487.92
  6. Step 6: Final answer
    x = 631.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.