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Finding the Fourth Proportional to 842.40, 1,252.80 and 777.60

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Solution

The fourth proportional to 842.40, 1,252.80 and 777.60 is: 1,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    842.40 : 1,252.80 = 777.60 : x
  2. Step 2: Convert to fraction form
    842.40/1,252.80 = 777.60/x
  3. Step 3: Cross multiply
    842.40x = 1,252.80 × 777.60
  4. Step 4: Simplify right side
    842.40x = 974,177.28
  5. Step 5: Solve for x
    x = 974,177.28/842.40
  6. Step 6: Final answer
    x = 1,156.43

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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.