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Finding the Fourth Proportional to 530.17, 729.94 and 424.87

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Solution

The fourth proportional to 530.17, 729.94 and 424.87 is: 584.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.17 : 729.94 = 424.87 : x
  2. Step 2: Convert to fraction form
    530.17/729.94 = 424.87/x
  3. Step 3: Cross multiply
    530.17x = 729.94 × 424.87
  4. Step 4: Simplify right side
    530.17x = 310,129.61
  5. Step 5: Solve for x
    x = 310,129.61/530.17
  6. Step 6: Final answer
    x = 584.96

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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.