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Finding the Fourth Proportional to 684.60, 944.42 and 497.80

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Solution

The fourth proportional to 684.60, 944.42 and 497.80 is: 686.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.60 : 944.42 = 497.80 : x
  2. Step 2: Convert to fraction form
    684.60/944.42 = 497.80/x
  3. Step 3: Cross multiply
    684.60x = 944.42 × 497.80
  4. Step 4: Simplify right side
    684.60x = 470,132.28
  5. Step 5: Solve for x
    x = 470,132.28/684.60
  6. Step 6: Final answer
    x = 686.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.