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Finding the Fourth Proportional to 530.49, 731.77 and 309.42

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Solution

The fourth proportional to 530.49, 731.77 and 309.42 is: 426.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.49 : 731.77 = 309.42 : x
  2. Step 2: Convert to fraction form
    530.49/731.77 = 309.42/x
  3. Step 3: Cross multiply
    530.49x = 731.77 × 309.42
  4. Step 4: Simplify right side
    530.49x = 226,424.27
  5. Step 5: Solve for x
    x = 226,424.27/530.49
  6. Step 6: Final answer
    x = 426.82

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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.