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Finding the Fourth Proportional to 918.32, 1,370.76 and 789.15

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Solution

The fourth proportional to 918.32, 1,370.76 and 789.15 is: 1,177.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.32 : 1,370.76 = 789.15 : x
  2. Step 2: Convert to fraction form
    918.32/1,370.76 = 789.15/x
  3. Step 3: Cross multiply
    918.32x = 1,370.76 × 789.15
  4. Step 4: Simplify right side
    918.32x = 1,081,735.25
  5. Step 5: Solve for x
    x = 1,081,735.25/918.32
  6. Step 6: Final answer
    x = 1,177.96

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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.