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Finding the Fourth Proportional to 1,066.49, 1,600.28 and 489.77

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Solution

The fourth proportional to 1,066.49, 1,600.28 and 489.77 is: 734.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,066.49 : 1,600.28 = 489.77 : x
  2. Step 2: Convert to fraction form
    1,066.49/1,600.28 = 489.77/x
  3. Step 3: Cross multiply
    1,066.49x = 1,600.28 × 489.77
  4. Step 4: Simplify right side
    1,066.49x = 783,766.69
  5. Step 5: Solve for x
    x = 783,766.69/1,066.49
  6. Step 6: Final answer
    x = 734.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.