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Finding the Fourth Proportional to 769.12, 1,061.28 and 474.40

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Solution

The fourth proportional to 769.12, 1,061.28 and 474.40 is: 654.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    769.12 : 1,061.28 = 474.40 : x
  2. Step 2: Convert to fraction form
    769.12/1,061.28 = 474.40/x
  3. Step 3: Cross multiply
    769.12x = 1,061.28 × 474.40
  4. Step 4: Simplify right side
    769.12x = 503,471.23
  5. Step 5: Solve for x
    x = 503,471.23/769.12
  6. Step 6: Final answer
    x = 654.61

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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.