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Finding the Fourth Proportional to 588.35, 815.63 and 557.13

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Solution

The fourth proportional to 588.35, 815.63 and 557.13 is: 772.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.35 : 815.63 = 557.13 : x
  2. Step 2: Convert to fraction form
    588.35/815.63 = 557.13/x
  3. Step 3: Cross multiply
    588.35x = 815.63 × 557.13
  4. Step 4: Simplify right side
    588.35x = 454,411.94
  5. Step 5: Solve for x
    x = 454,411.94/588.35
  6. Step 6: Final answer
    x = 772.35

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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.