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Finding the Fourth Proportional to 756.27, 1,127.57 and 709.83

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Solution

The fourth proportional to 756.27, 1,127.57 and 709.83 is: 1,058.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.27 : 1,127.57 = 709.83 : x
  2. Step 2: Convert to fraction form
    756.27/1,127.57 = 709.83/x
  3. Step 3: Cross multiply
    756.27x = 1,127.57 × 709.83
  4. Step 4: Simplify right side
    756.27x = 800,379.46
  5. Step 5: Solve for x
    x = 800,379.46/756.27
  6. Step 6: Final answer
    x = 1,058.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.