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Finding the Fourth Proportional to 530.59, 731.97 and 353.65

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Solution

The fourth proportional to 530.59, 731.97 and 353.65 is: 487.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.59 : 731.97 = 353.65 : x
  2. Step 2: Convert to fraction form
    530.59/731.97 = 353.65/x
  3. Step 3: Cross multiply
    530.59x = 731.97 × 353.65
  4. Step 4: Simplify right side
    530.59x = 258,861.19
  5. Step 5: Solve for x
    x = 258,861.19/530.59
  6. Step 6: Final answer
    x = 487.87

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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.