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Finding the Fourth Proportional to 529.83, 731.28 and 477.89

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Solution

The fourth proportional to 529.83, 731.28 and 477.89 is: 659.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.83 : 731.28 = 477.89 : x
  2. Step 2: Convert to fraction form
    529.83/731.28 = 477.89/x
  3. Step 3: Cross multiply
    529.83x = 731.28 × 477.89
  4. Step 4: Simplify right side
    529.83x = 349,473.19
  5. Step 5: Solve for x
    x = 349,473.19/529.83
  6. Step 6: Final answer
    x = 659.59

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