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Finding the Fourth Proportional to 877.89, 1,310.44 and 812.73

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Solution

The fourth proportional to 877.89, 1,310.44 and 812.73 is: 1,213.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.89 : 1,310.44 = 812.73 : x
  2. Step 2: Convert to fraction form
    877.89/1,310.44 = 812.73/x
  3. Step 3: Cross multiply
    877.89x = 1,310.44 × 812.73
  4. Step 4: Simplify right side
    877.89x = 1,065,031.87
  5. Step 5: Solve for x
    x = 1,065,031.87/877.89
  6. Step 6: Final answer
    x = 1,213.17

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.