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Finding the Fourth Proportional to 755.46, 1,127.90 and 709.11

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Solution

The fourth proportional to 755.46, 1,127.90 and 709.11 is: 1,058.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.46 : 1,127.90 = 709.11 : x
  2. Step 2: Convert to fraction form
    755.46/1,127.90 = 709.11/x
  3. Step 3: Cross multiply
    755.46x = 1,127.90 × 709.11
  4. Step 4: Simplify right side
    755.46x = 799,806.94
  5. Step 5: Solve for x
    x = 799,806.94/755.46
  6. Step 6: Final answer
    x = 1,058.70

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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.