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Finding the Fourth Proportional to 588.94, 813.75 and 515.14

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Solution

The fourth proportional to 588.94, 813.75 and 515.14 is: 711.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.94 : 813.75 = 515.14 : x
  2. Step 2: Convert to fraction form
    588.94/813.75 = 515.14/x
  3. Step 3: Cross multiply
    588.94x = 813.75 × 515.14
  4. Step 4: Simplify right side
    588.94x = 419,195.18
  5. Step 5: Solve for x
    x = 419,195.18/588.94
  6. Step 6: Final answer
    x = 711.78

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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.