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Finding the Fourth Proportional to 530.08, 731.25 and 343.63

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Solution

The fourth proportional to 530.08, 731.25 and 343.63 is: 474.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.08 : 731.25 = 343.63 : x
  2. Step 2: Convert to fraction form
    530.08/731.25 = 343.63/x
  3. Step 3: Cross multiply
    530.08x = 731.25 × 343.63
  4. Step 4: Simplify right side
    530.08x = 251,279.44
  5. Step 5: Solve for x
    x = 251,279.44/530.08
  6. Step 6: Final answer
    x = 474.04

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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.