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Finding the Fourth Proportional to 877.73, 1,314.30 and 851.76

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Solution

The fourth proportional to 877.73, 1,314.30 and 851.76 is: 1,275.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.73 : 1,314.30 = 851.76 : x
  2. Step 2: Convert to fraction form
    877.73/1,314.30 = 851.76/x
  3. Step 3: Cross multiply
    877.73x = 1,314.30 × 851.76
  4. Step 4: Simplify right side
    877.73x = 1,119,461.60
  5. Step 5: Solve for x
    x = 1,119,461.60/877.73
  6. Step 6: Final answer
    x = 1,275.41

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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.