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Finding the Fourth Proportional to 723.64, 1,079.12 and 706.36

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Solution

The fourth proportional to 723.64, 1,079.12 and 706.36 is: 1,053.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    723.64 : 1,079.12 = 706.36 : x
  2. Step 2: Convert to fraction form
    723.64/1,079.12 = 706.36/x
  3. Step 3: Cross multiply
    723.64x = 1,079.12 × 706.36
  4. Step 4: Simplify right side
    723.64x = 762,247.20
  5. Step 5: Solve for x
    x = 762,247.20/723.64
  6. Step 6: Final answer
    x = 1,053.35

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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.