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Finding the Fourth Proportional to 756.91, 1,135.18 and 719.88

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Solution

The fourth proportional to 756.91, 1,135.18 and 719.88 is: 1,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.91 : 1,135.18 = 719.88 : x
  2. Step 2: Convert to fraction form
    756.91/1,135.18 = 719.88/x
  3. Step 3: Cross multiply
    756.91x = 1,135.18 × 719.88
  4. Step 4: Simplify right side
    756.91x = 817,193.38
  5. Step 5: Solve for x
    x = 817,193.38/756.91
  6. Step 6: Final answer
    x = 1,079.64

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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.