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Finding the Fourth Proportional to 877.24, 1,212.53 and 771.54

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Solution

The fourth proportional to 877.24, 1,212.53 and 771.54 is: 1,066.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.24 : 1,212.53 = 771.54 : x
  2. Step 2: Convert to fraction form
    877.24/1,212.53 = 771.54/x
  3. Step 3: Cross multiply
    877.24x = 1,212.53 × 771.54
  4. Step 4: Simplify right side
    877.24x = 935,515.40
  5. Step 5: Solve for x
    x = 935,515.40/877.24
  6. Step 6: Final answer
    x = 1,066.43

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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.