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Finding the Fourth Proportional to 1,452.70, 2,178.85 and 586.81

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Solution

The fourth proportional to 1,452.70, 2,178.85 and 586.81 is: 880.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,452.70 : 2,178.85 = 586.81 : x
  2. Step 2: Convert to fraction form
    1,452.70/2,178.85 = 586.81/x
  3. Step 3: Cross multiply
    1,452.70x = 2,178.85 × 586.81
  4. Step 4: Simplify right side
    1,452.70x = 1,278,570.97
  5. Step 5: Solve for x
    x = 1,278,570.97/1,452.70
  6. Step 6: Final answer
    x = 880.13

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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.