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Finding the Fourth Proportional to 588.50, 876.53 and 557.66

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Solution

The fourth proportional to 588.50, 876.53 and 557.66 is: 830.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.50 : 876.53 = 557.66 : x
  2. Step 2: Convert to fraction form
    588.50/876.53 = 557.66/x
  3. Step 3: Cross multiply
    588.50x = 876.53 × 557.66
  4. Step 4: Simplify right side
    588.50x = 488,805.72
  5. Step 5: Solve for x
    x = 488,805.72/588.50
  6. Step 6: Final answer
    x = 830.60

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.