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Finding the Fourth Proportional to 1,476.71, 2,216.43 and 746.80

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Solution

The fourth proportional to 1,476.71, 2,216.43 and 746.80 is: 1,120.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,476.71 : 2,216.43 = 746.80 : x
  2. Step 2: Convert to fraction form
    1,476.71/2,216.43 = 746.80/x
  3. Step 3: Cross multiply
    1,476.71x = 2,216.43 × 746.80
  4. Step 4: Simplify right side
    1,476.71x = 1,655,229.92
  5. Step 5: Solve for x
    x = 1,655,229.92/1,476.71
  6. Step 6: Final answer
    x = 1,120.89

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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.