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Finding the Fourth Proportional to 529.76, 728.76 and 477.44

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Solution

The fourth proportional to 529.76, 728.76 and 477.44 is: 656.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.76 : 728.76 = 477.44 : x
  2. Step 2: Convert to fraction form
    529.76/728.76 = 477.44/x
  3. Step 3: Cross multiply
    529.76x = 728.76 × 477.44
  4. Step 4: Simplify right side
    529.76x = 347,939.17
  5. Step 5: Solve for x
    x = 347,939.17/529.76
  6. Step 6: Final answer
    x = 656.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.