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Finding the Fourth Proportional to 530.67, 731.39 and 406.10

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Solution

The fourth proportional to 530.67, 731.39 and 406.10 is: 559.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    530.67 : 731.39 = 406.10 : x
  2. Step 2: Convert to fraction form
    530.67/731.39 = 406.10/x
  3. Step 3: Cross multiply
    530.67x = 731.39 × 406.10
  4. Step 4: Simplify right side
    530.67x = 297,017.28
  5. Step 5: Solve for x
    x = 297,017.28/530.67
  6. Step 6: Final answer
    x = 559.70

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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.