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Finding the Fourth Proportional to 756.13, 1,134.27 and 678.61

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Solution

The fourth proportional to 756.13, 1,134.27 and 678.61 is: 1,017.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.13 : 1,134.27 = 678.61 : x
  2. Step 2: Convert to fraction form
    756.13/1,134.27 = 678.61/x
  3. Step 3: Cross multiply
    756.13x = 1,134.27 × 678.61
  4. Step 4: Simplify right side
    756.13x = 769,721.29
  5. Step 5: Solve for x
    x = 769,721.29/756.13
  6. Step 6: Final answer
    x = 1,017.98

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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.