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Finding the Fourth Proportional to 863.60, 1,294.14 and 498.47

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Solution

The fourth proportional to 863.60, 1,294.14 and 498.47 is: 746.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.60 : 1,294.14 = 498.47 : x
  2. Step 2: Convert to fraction form
    863.60/1,294.14 = 498.47/x
  3. Step 3: Cross multiply
    863.60x = 1,294.14 × 498.47
  4. Step 4: Simplify right side
    863.60x = 645,089.97
  5. Step 5: Solve for x
    x = 645,089.97/863.60
  6. Step 6: Final answer
    x = 746.98

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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.