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Finding the Fourth Proportional to 757.34, 1,127.63 and 712.25

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Solution

The fourth proportional to 757.34, 1,127.63 and 712.25 is: 1,060.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    757.34 : 1,127.63 = 712.25 : x
  2. Step 2: Convert to fraction form
    757.34/1,127.63 = 712.25/x
  3. Step 3: Cross multiply
    757.34x = 1,127.63 × 712.25
  4. Step 4: Simplify right side
    757.34x = 803,154.47
  5. Step 5: Solve for x
    x = 803,154.47/757.34
  6. Step 6: Final answer
    x = 1,060.49

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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.