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Finding the Fourth Proportional to 851.57, 1,174.05 and 615.86

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Solution

The fourth proportional to 851.57, 1,174.05 and 615.86 is: 849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    851.57 : 1,174.05 = 615.86 : x
  2. Step 2: Convert to fraction form
    851.57/1,174.05 = 615.86/x
  3. Step 3: Cross multiply
    851.57x = 1,174.05 × 615.86
  4. Step 4: Simplify right side
    851.57x = 723,044.56
  5. Step 5: Solve for x
    x = 723,044.56/851.57
  6. Step 6: Final answer
    x = 849.08

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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.