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Finding the Fourth Proportional to 530.14, 731.13 and 343.57

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Solution

The fourth proportional to 530.14, 731.13 and 343.57 is: 473.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.14 : 731.13 = 343.57 : x
  2. Step 2: Convert to fraction form
    530.14/731.13 = 343.57/x
  3. Step 3: Cross multiply
    530.14x = 731.13 × 343.57
  4. Step 4: Simplify right side
    530.14x = 251,194.33
  5. Step 5: Solve for x
    x = 251,194.33/530.14
  6. Step 6: Final answer
    x = 473.83

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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.