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Finding the Fourth Proportional to 588.64, 813.94 and 496.52

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Solution

The fourth proportional to 588.64, 813.94 and 496.52 is: 686.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.64 : 813.94 = 496.52 : x
  2. Step 2: Convert to fraction form
    588.64/813.94 = 496.52/x
  3. Step 3: Cross multiply
    588.64x = 813.94 × 496.52
  4. Step 4: Simplify right side
    588.64x = 404,137.49
  5. Step 5: Solve for x
    x = 404,137.49/588.64
  6. Step 6: Final answer
    x = 686.56

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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.