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Finding the Fourth Proportional to 884.52, 1,331.91 and 777.60

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Solution

The fourth proportional to 884.52, 1,331.91 and 777.60 is: 1,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.52 : 1,331.91 = 777.60 : x
  2. Step 2: Convert to fraction form
    884.52/1,331.91 = 777.60/x
  3. Step 3: Cross multiply
    884.52x = 1,331.91 × 777.60
  4. Step 4: Simplify right side
    884.52x = 1,035,693.22
  5. Step 5: Solve for x
    x = 1,035,693.22/884.52
  6. Step 6: Final answer
    x = 1,170.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.