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Finding the Fourth Proportional to 861.15, 1,289.68 and 470.57

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Solution

The fourth proportional to 861.15, 1,289.68 and 470.57 is: 704.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.15 : 1,289.68 = 470.57 : x
  2. Step 2: Convert to fraction form
    861.15/1,289.68 = 470.57/x
  3. Step 3: Cross multiply
    861.15x = 1,289.68 × 470.57
  4. Step 4: Simplify right side
    861.15x = 606,881.93
  5. Step 5: Solve for x
    x = 606,881.93/861.15
  6. Step 6: Final answer
    x = 704.73

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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.