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Finding the Fourth Proportional to 1,449.81, 2,174.72 and 525.20

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Solution

The fourth proportional to 1,449.81, 2,174.72 and 525.20 is: 787.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.81 : 2,174.72 = 525.20 : x
  2. Step 2: Convert to fraction form
    1,449.81/2,174.72 = 525.20/x
  3. Step 3: Cross multiply
    1,449.81x = 2,174.72 × 525.20
  4. Step 4: Simplify right side
    1,449.81x = 1,142,149.44
  5. Step 5: Solve for x
    x = 1,142,149.44/1,449.81
  6. Step 6: Final answer
    x = 787.79

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1.5x scale

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.