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Finding the Fourth Proportional to 529.92, 730.62 and 431.46

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Solution

The fourth proportional to 529.92, 730.62 and 431.46 is: 594.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.92 : 730.62 = 431.46 : x
  2. Step 2: Convert to fraction form
    529.92/730.62 = 431.46/x
  3. Step 3: Cross multiply
    529.92x = 730.62 × 431.46
  4. Step 4: Simplify right side
    529.92x = 315,233.31
  5. Step 5: Solve for x
    x = 315,233.31/529.92
  6. Step 6: Final answer
    x = 594.87

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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.