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Finding the Fourth Proportional to 1,076.55, 1,614.35 and 306.87

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Solution

The fourth proportional to 1,076.55, 1,614.35 and 306.87 is: 460.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.55 : 1,614.35 = 306.87 : x
  2. Step 2: Convert to fraction form
    1,076.55/1,614.35 = 306.87/x
  3. Step 3: Cross multiply
    1,076.55x = 1,614.35 × 306.87
  4. Step 4: Simplify right side
    1,076.55x = 495,394.05
  5. Step 5: Solve for x
    x = 495,394.05/1,076.55
  6. Step 6: Final answer
    x = 460.17

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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.