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Finding the Fourth Proportional to 890.87, 1,229.47 and 497.89

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Solution

The fourth proportional to 890.87, 1,229.47 and 497.89 is: 687.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    890.87 : 1,229.47 = 497.89 : x
  2. Step 2: Convert to fraction form
    890.87/1,229.47 = 497.89/x
  3. Step 3: Cross multiply
    890.87x = 1,229.47 × 497.89
  4. Step 4: Simplify right side
    890.87x = 612,136.50
  5. Step 5: Solve for x
    x = 612,136.50/890.87
  6. Step 6: Final answer
    x = 687.12

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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.