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Finding the Fourth Proportional to 1,358.24, 1,874.70 and 769.12

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Solution

The fourth proportional to 1,358.24, 1,874.70 and 769.12 is: 1,061.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,358.24 : 1,874.70 = 769.12 : x
  2. Step 2: Convert to fraction form
    1,358.24/1,874.70 = 769.12/x
  3. Step 3: Cross multiply
    1,358.24x = 1,874.70 × 769.12
  4. Step 4: Simplify right side
    1,358.24x = 1,441,864.58
  5. Step 5: Solve for x
    x = 1,441,864.58/1,358.24
  6. Step 6: Final answer
    x = 1,061.57

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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.