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Finding the Fourth Proportional to 861.68, 1,292.76 and 284.57

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Solution

The fourth proportional to 861.68, 1,292.76 and 284.57 is: 426.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.68 : 1,292.76 = 284.57 : x
  2. Step 2: Convert to fraction form
    861.68/1,292.76 = 284.57/x
  3. Step 3: Cross multiply
    861.68x = 1,292.76 × 284.57
  4. Step 4: Simplify right side
    861.68x = 367,880.71
  5. Step 5: Solve for x
    x = 367,880.71/861.68
  6. Step 6: Final answer
    x = 426.93

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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.