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Finding the Fourth Proportional to 557.19, 834.44 and 542.61

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Solution

The fourth proportional to 557.19, 834.44 and 542.61 is: 812.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.19 : 834.44 = 542.61 : x
  2. Step 2: Convert to fraction form
    557.19/834.44 = 542.61/x
  3. Step 3: Cross multiply
    557.19x = 834.44 × 542.61
  4. Step 4: Simplify right side
    557.19x = 452,775.49
  5. Step 5: Solve for x
    x = 452,775.49/557.19
  6. Step 6: Final answer
    x = 812.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.