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Finding the Fourth Proportional to 529.43, 729.75 and 424.34

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Solution

The fourth proportional to 529.43, 729.75 and 424.34 is: 584.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.43 : 729.75 = 424.34 : x
  2. Step 2: Convert to fraction form
    529.43/729.75 = 424.34/x
  3. Step 3: Cross multiply
    529.43x = 729.75 × 424.34
  4. Step 4: Simplify right side
    529.43x = 309,658.47
  5. Step 5: Solve for x
    x = 309,658.47/529.43
  6. Step 6: Final answer
    x = 584.89

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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.