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Finding the Fourth Proportional to 890.72, 1,229.22 and 497.74

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Solution

The fourth proportional to 890.72, 1,229.22 and 497.74 is: 686.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.72 : 1,229.22 = 497.74 : x
  2. Step 2: Convert to fraction form
    890.72/1,229.22 = 497.74/x
  3. Step 3: Cross multiply
    890.72x = 1,229.22 × 497.74
  4. Step 4: Simplify right side
    890.72x = 611,834.87
  5. Step 5: Solve for x
    x = 611,834.87/890.72
  6. Step 6: Final answer
    x = 686.90

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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.