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Finding the Fourth Proportional to 887.71, 1,221.53 and 762.87

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Solution

The fourth proportional to 887.71, 1,221.53 and 762.87 is: 1,049.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.71 : 1,221.53 = 762.87 : x
  2. Step 2: Convert to fraction form
    887.71/1,221.53 = 762.87/x
  3. Step 3: Cross multiply
    887.71x = 1,221.53 × 762.87
  4. Step 4: Simplify right side
    887.71x = 931,866.78
  5. Step 5: Solve for x
    x = 931,866.78/887.71
  6. Step 6: Final answer
    x = 1,049.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.