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Finding the Fourth Proportional to 1,451.62, 2,178.46 and 630.13

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Solution

The fourth proportional to 1,451.62, 2,178.46 and 630.13 is: 945.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,451.62 : 2,178.46 = 630.13 : x
  2. Step 2: Convert to fraction form
    1,451.62/2,178.46 = 630.13/x
  3. Step 3: Cross multiply
    1,451.62x = 2,178.46 × 630.13
  4. Step 4: Simplify right side
    1,451.62x = 1,372,709.77
  5. Step 5: Solve for x
    x = 1,372,709.77/1,451.62
  6. Step 6: Final answer
    x = 945.64

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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.