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Finding the Fourth Proportional to 756.18, 1,134.72 and 708.19

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Solution

The fourth proportional to 756.18, 1,134.72 and 708.19 is: 1,062.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.18 : 1,134.72 = 708.19 : x
  2. Step 2: Convert to fraction form
    756.18/1,134.72 = 708.19/x
  3. Step 3: Cross multiply
    756.18x = 1,134.72 × 708.19
  4. Step 4: Simplify right side
    756.18x = 803,594.52
  5. Step 5: Solve for x
    x = 803,594.52/756.18
  6. Step 6: Final answer
    x = 1,062.70

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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.