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Finding the Fourth Proportional to 884.40, 1,325.40 and 781.20

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Solution

The fourth proportional to 884.40, 1,325.40 and 781.20 is: 1,170.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.40 : 1,325.40 = 781.20 : x
  2. Step 2: Convert to fraction form
    884.40/1,325.40 = 781.20/x
  3. Step 3: Cross multiply
    884.40x = 1,325.40 × 781.20
  4. Step 4: Simplify right side
    884.40x = 1,035,402.48
  5. Step 5: Solve for x
    x = 1,035,402.48/884.40
  6. Step 6: Final answer
    x = 1,170.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.