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Finding the Fourth Proportional to 884.85, 1,320.78 and 781.06

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Solution

The fourth proportional to 884.85, 1,320.78 and 781.06 is: 1,165.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.85 : 1,320.78 = 781.06 : x
  2. Step 2: Convert to fraction form
    884.85/1,320.78 = 781.06/x
  3. Step 3: Cross multiply
    884.85x = 1,320.78 × 781.06
  4. Step 4: Simplify right side
    884.85x = 1,031,608.43
  5. Step 5: Solve for x
    x = 1,031,608.43/884.85
  6. Step 6: Final answer
    x = 1,165.86

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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.