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Finding the Fourth Proportional to 531.05, 732.38 and 461.07

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Solution

The fourth proportional to 531.05, 732.38 and 461.07 is: 635.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.05 : 732.38 = 461.07 : x
  2. Step 2: Convert to fraction form
    531.05/732.38 = 461.07/x
  3. Step 3: Cross multiply
    531.05x = 732.38 × 461.07
  4. Step 4: Simplify right side
    531.05x = 337,676.14
  5. Step 5: Solve for x
    x = 337,676.14/531.05
  6. Step 6: Final answer
    x = 635.87

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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.