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Finding the Fourth Proportional to 861.87, 1,293.12 and 423.08

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Solution

The fourth proportional to 861.87, 1,293.12 and 423.08 is: 634.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.87 : 1,293.12 = 423.08 : x
  2. Step 2: Convert to fraction form
    861.87/1,293.12 = 423.08/x
  3. Step 3: Cross multiply
    861.87x = 1,293.12 × 423.08
  4. Step 4: Simplify right side
    861.87x = 547,088.71
  5. Step 5: Solve for x
    x = 547,088.71/861.87
  6. Step 6: Final answer
    x = 634.77

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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.