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Finding the Fourth Proportional to 890.88, 1,229.48 and 497.90

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Solution

The fourth proportional to 890.88, 1,229.48 and 497.90 is: 687.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.88 : 1,229.48 = 497.90 : x
  2. Step 2: Convert to fraction form
    890.88/1,229.48 = 497.90/x
  3. Step 3: Cross multiply
    890.88x = 1,229.48 × 497.90
  4. Step 4: Simplify right side
    890.88x = 612,149.46
  5. Step 5: Solve for x
    x = 612,149.46/890.88
  6. Step 6: Final answer
    x = 687.13

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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.