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Finding the Fourth Proportional to 884.56, 1,315.82 and 875.20

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Solution

The fourth proportional to 884.56, 1,315.82 and 875.20 is: 1,301.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    884.56 : 1,315.82 = 875.20 : x
  2. Step 2: Convert to fraction form
    884.56/1,315.82 = 875.20/x
  3. Step 3: Cross multiply
    884.56x = 1,315.82 × 875.20
  4. Step 4: Simplify right side
    884.56x = 1,151,605.66
  5. Step 5: Solve for x
    x = 1,151,605.66/884.56
  6. Step 6: Final answer
    x = 1,301.90

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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.