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Finding the Fourth Proportional to 757.46, 1,130.88 and 711.12

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Solution

The fourth proportional to 757.46, 1,130.88 and 711.12 is: 1,061.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.46 : 1,130.88 = 711.12 : x
  2. Step 2: Convert to fraction form
    757.46/1,130.88 = 711.12/x
  3. Step 3: Cross multiply
    757.46x = 1,130.88 × 711.12
  4. Step 4: Simplify right side
    757.46x = 804,191.39
  5. Step 5: Solve for x
    x = 804,191.39/757.46
  6. Step 6: Final answer
    x = 1,061.69

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1.5x scale

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.