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Finding the Fourth Proportional to 1,445.79, 2,169.26 and 471.90

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Solution

The fourth proportional to 1,445.79, 2,169.26 and 471.90 is: 708.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,445.79 : 2,169.26 = 471.90 : x
  2. Step 2: Convert to fraction form
    1,445.79/2,169.26 = 471.90/x
  3. Step 3: Cross multiply
    1,445.79x = 2,169.26 × 471.90
  4. Step 4: Simplify right side
    1,445.79x = 1,023,673.79
  5. Step 5: Solve for x
    x = 1,023,673.79/1,445.79
  6. Step 6: Final answer
    x = 708.04

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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.