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Finding the Fourth Proportional to 875.70, 1,204.89 and 717.75

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Solution

The fourth proportional to 875.70, 1,204.89 and 717.75 is: 987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.70 : 1,204.89 = 717.75 : x
  2. Step 2: Convert to fraction form
    875.70/1,204.89 = 717.75/x
  3. Step 3: Cross multiply
    875.70x = 1,204.89 × 717.75
  4. Step 4: Simplify right side
    875.70x = 864,809.80
  5. Step 5: Solve for x
    x = 864,809.80/875.70
  6. Step 6: Final answer
    x = 987.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.