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Finding the Fourth Proportional to 863.47, 1,294.53 and 588.88

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Solution

The fourth proportional to 863.47, 1,294.53 and 588.88 is: 882.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.47 : 1,294.53 = 588.88 : x
  2. Step 2: Convert to fraction form
    863.47/1,294.53 = 588.88/x
  3. Step 3: Cross multiply
    863.47x = 1,294.53 × 588.88
  4. Step 4: Simplify right side
    863.47x = 762,322.83
  5. Step 5: Solve for x
    x = 762,322.83/863.47
  6. Step 6: Final answer
    x = 882.86

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1.5x scale

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.