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Finding the Fourth Proportional to 1,114.64, 1,670.16 and 789.38

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Solution

The fourth proportional to 1,114.64, 1,670.16 and 789.38 is: 1,182.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,114.64 : 1,670.16 = 789.38 : x
  2. Step 2: Convert to fraction form
    1,114.64/1,670.16 = 789.38/x
  3. Step 3: Cross multiply
    1,114.64x = 1,670.16 × 789.38
  4. Step 4: Simplify right side
    1,114.64x = 1,318,390.90
  5. Step 5: Solve for x
    x = 1,318,390.90/1,114.64
  6. Step 6: Final answer
    x = 1,182.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.