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Finding the Fourth Proportional to 874.10, 1,206.60 and 542.66

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Solution

The fourth proportional to 874.10, 1,206.60 and 542.66 is: 749.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    874.10 : 1,206.60 = 542.66 : x
  2. Step 2: Convert to fraction form
    874.10/1,206.60 = 542.66/x
  3. Step 3: Cross multiply
    874.10x = 1,206.60 × 542.66
  4. Step 4: Simplify right side
    874.10x = 654,773.56
  5. Step 5: Solve for x
    x = 654,773.56/874.10
  6. Step 6: Final answer
    x = 749.08

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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.