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Finding the Fourth Proportional to 531.82, 737.27 and 498.70

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Solution

The fourth proportional to 531.82, 737.27 and 498.70 is: 691.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    531.82 : 737.27 = 498.70 : x
  2. Step 2: Convert to fraction form
    531.82/737.27 = 498.70/x
  3. Step 3: Cross multiply
    531.82x = 737.27 × 498.70
  4. Step 4: Simplify right side
    531.82x = 367,676.55
  5. Step 5: Solve for x
    x = 367,676.55/531.82
  6. Step 6: Final answer
    x = 691.36

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.