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Finding the Fourth Proportional to 489.86, 738.22 and 459.10

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Solution

The fourth proportional to 489.86, 738.22 and 459.10 is: 691.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    489.86 : 738.22 = 459.10 : x
  2. Step 2: Convert to fraction form
    489.86/738.22 = 459.10/x
  3. Step 3: Cross multiply
    489.86x = 738.22 × 459.10
  4. Step 4: Simplify right side
    489.86x = 338,916.80
  5. Step 5: Solve for x
    x = 338,916.80/489.86
  6. Step 6: Final answer
    x = 691.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.