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Finding the Fourth Proportional to 529.98, 729.06 and 431.52

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Solution

The fourth proportional to 529.98, 729.06 and 431.52 is: 593.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.98 : 729.06 = 431.52 : x
  2. Step 2: Convert to fraction form
    529.98/729.06 = 431.52/x
  3. Step 3: Cross multiply
    529.98x = 729.06 × 431.52
  4. Step 4: Simplify right side
    529.98x = 314,603.97
  5. Step 5: Solve for x
    x = 314,603.97/529.98
  6. Step 6: Final answer
    x = 593.61

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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.