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Finding the Fourth Proportional to 875.34, 1,318.23 and 789.66

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Solution

The fourth proportional to 875.34, 1,318.23 and 789.66 is: 1,189.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    875.34 : 1,318.23 = 789.66 : x
  2. Step 2: Convert to fraction form
    875.34/1,318.23 = 789.66/x
  3. Step 3: Cross multiply
    875.34x = 1,318.23 × 789.66
  4. Step 4: Simplify right side
    875.34x = 1,040,953.50
  5. Step 5: Solve for x
    x = 1,040,953.50/875.34
  6. Step 6: Final answer
    x = 1,189.20

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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.