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Finding the Fourth Proportional to 1,452.16, 2,178.78 and 672.54

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Solution

The fourth proportional to 1,452.16, 2,178.78 and 672.54 is: 1,009.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.16 : 2,178.78 = 672.54 : x
  2. Step 2: Convert to fraction form
    1,452.16/2,178.78 = 672.54/x
  3. Step 3: Cross multiply
    1,452.16x = 2,178.78 × 672.54
  4. Step 4: Simplify right side
    1,452.16x = 1,465,316.70
  5. Step 5: Solve for x
    x = 1,465,316.70/1,452.16
  6. Step 6: Final answer
    x = 1,009.06

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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.