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Finding the Fourth Proportional to 1,449.75, 2,173.71 and 525.14

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Solution

The fourth proportional to 1,449.75, 2,173.71 and 525.14 is: 787.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.75 : 2,173.71 = 525.14 : x
  2. Step 2: Convert to fraction form
    1,449.75/2,173.71 = 525.14/x
  3. Step 3: Cross multiply
    1,449.75x = 2,173.71 × 525.14
  4. Step 4: Simplify right side
    1,449.75x = 1,141,491.20
  5. Step 5: Solve for x
    x = 1,141,491.20/1,449.75
  6. Step 6: Final answer
    x = 787.37

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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.