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Finding the Fourth Proportional to 877.73, 1,312.72 and 780.91

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Solution

The fourth proportional to 877.73, 1,312.72 and 780.91 is: 1,167.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.73 : 1,312.72 = 780.91 : x
  2. Step 2: Convert to fraction form
    877.73/1,312.72 = 780.91/x
  3. Step 3: Cross multiply
    877.73x = 1,312.72 × 780.91
  4. Step 4: Simplify right side
    877.73x = 1,025,120.87
  5. Step 5: Solve for x
    x = 1,025,120.87/877.73
  6. Step 6: Final answer
    x = 1,167.92

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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.