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Finding the Fourth Proportional to 530.10, 731.82 and 399.66

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Solution

The fourth proportional to 530.10, 731.82 and 399.66 is: 551.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.10 : 731.82 = 399.66 : x
  2. Step 2: Convert to fraction form
    530.10/731.82 = 399.66/x
  3. Step 3: Cross multiply
    530.10x = 731.82 × 399.66
  4. Step 4: Simplify right side
    530.10x = 292,479.18
  5. Step 5: Solve for x
    x = 292,479.18/530.10
  6. Step 6: Final answer
    x = 551.74

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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.