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Finding the Fourth Proportional to 1,076.38, 1,614.59 and 306.88

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Solution

The fourth proportional to 1,076.38, 1,614.59 and 306.88 is: 460.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.38 : 1,614.59 = 306.88 : x
  2. Step 2: Convert to fraction form
    1,076.38/1,614.59 = 306.88/x
  3. Step 3: Cross multiply
    1,076.38x = 1,614.59 × 306.88
  4. Step 4: Simplify right side
    1,076.38x = 495,475.77
  5. Step 5: Solve for x
    x = 495,475.77/1,076.38
  6. Step 6: Final answer
    x = 460.32

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