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Finding the Fourth Proportional to 719.66, 1,079.46 and 372.87

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Solution

The fourth proportional to 719.66, 1,079.46 and 372.87 is: 559.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.66 : 1,079.46 = 372.87 : x
  2. Step 2: Convert to fraction form
    719.66/1,079.46 = 372.87/x
  3. Step 3: Cross multiply
    719.66x = 1,079.46 × 372.87
  4. Step 4: Simplify right side
    719.66x = 402,498.25
  5. Step 5: Solve for x
    x = 402,498.25/719.66
  6. Step 6: Final answer
    x = 559.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.