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Finding the Fourth Proportional to 849.46, 1,172.20 and 724.92

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Solution

The fourth proportional to 849.46, 1,172.20 and 724.92 is: 1,000.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.46 : 1,172.20 = 724.92 : x
  2. Step 2: Convert to fraction form
    849.46/1,172.20 = 724.92/x
  3. Step 3: Cross multiply
    849.46x = 1,172.20 × 724.92
  4. Step 4: Simplify right side
    849.46x = 849,751.22
  5. Step 5: Solve for x
    x = 849,751.22/849.46
  6. Step 6: Final answer
    x = 1,000.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.