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Finding the Fourth Proportional to 477.76, 717.36 and 424

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Solution

The fourth proportional to 477.76, 717.36 and 424 is: 636.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    477.76 : 717.36 = 424 : x
  2. Step 2: Convert to fraction form
    477.76/717.36 = 424/x
  3. Step 3: Cross multiply
    477.76x = 717.36 × 424
  4. Step 4: Simplify right side
    477.76x = 304,160.64
  5. Step 5: Solve for x
    x = 304,160.64/477.76
  6. Step 6: Final answer
    x = 636.64

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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.