Home / 1,296.32-1,943.39-474.12

Finding the Fourth Proportional to 1,296.32, 1,943.39 and 474.12

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Solution

The fourth proportional to 1,296.32, 1,943.39 and 474.12 is: 710.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296.32 : 1,943.39 = 474.12 : x
  2. Step 2: Convert to fraction form
    1,296.32/1,943.39 = 474.12/x
  3. Step 3: Cross multiply
    1,296.32x = 1,943.39 × 474.12
  4. Step 4: Simplify right side
    1,296.32x = 921,397.70
  5. Step 5: Solve for x
    x = 921,397.70/1,296.32
  6. Step 6: Final answer
    x = 710.78

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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.