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Finding the Fourth Proportional to 723.40, 1,080.70 and 461.31

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Solution

The fourth proportional to 723.40, 1,080.70 and 461.31 is: 689.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.40 : 1,080.70 = 461.31 : x
  2. Step 2: Convert to fraction form
    723.40/1,080.70 = 461.31/x
  3. Step 3: Cross multiply
    723.40x = 1,080.70 × 461.31
  4. Step 4: Simplify right side
    723.40x = 498,536.56
  5. Step 5: Solve for x
    x = 498,536.56/723.40
  6. Step 6: Final answer
    x = 689.16

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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.