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Finding the Fourth Proportional to 487.35, 727.56 and 470.27

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Solution

The fourth proportional to 487.35, 727.56 and 470.27 is: 702.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    487.35 : 727.56 = 470.27 : x
  2. Step 2: Convert to fraction form
    487.35/727.56 = 470.27/x
  3. Step 3: Cross multiply
    487.35x = 727.56 × 470.27
  4. Step 4: Simplify right side
    487.35x = 342,144.24
  5. Step 5: Solve for x
    x = 342,144.24/487.35
  6. Step 6: Final answer
    x = 702.04

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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.