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Finding the Fourth Proportional to 877.58, 1,211.78 and 784.16

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Solution

The fourth proportional to 877.58, 1,211.78 and 784.16 is: 1,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    877.58 : 1,211.78 = 784.16 : x
  2. Step 2: Convert to fraction form
    877.58/1,211.78 = 784.16/x
  3. Step 3: Cross multiply
    877.58x = 1,211.78 × 784.16
  4. Step 4: Simplify right side
    877.58x = 950,229.40
  5. Step 5: Solve for x
    x = 950,229.40/877.58
  6. Step 6: Final answer
    x = 1,082.78

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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.