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Finding the Fourth Proportional to 530.17, 731.04 and 431.74

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Solution

The fourth proportional to 530.17, 731.04 and 431.74 is: 595.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.17 : 731.04 = 431.74 : x
  2. Step 2: Convert to fraction form
    530.17/731.04 = 431.74/x
  3. Step 3: Cross multiply
    530.17x = 731.04 × 431.74
  4. Step 4: Simplify right side
    530.17x = 315,619.21
  5. Step 5: Solve for x
    x = 315,619.21/530.17
  6. Step 6: Final answer
    x = 595.32

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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.