Home / 1,525.13-2,287.85-414.56

Finding the Fourth Proportional to 1,525.13, 2,287.85 and 414.56

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Solution

The fourth proportional to 1,525.13, 2,287.85 and 414.56 is: 621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.13 : 2,287.85 = 414.56 : x
  2. Step 2: Convert to fraction form
    1,525.13/2,287.85 = 414.56/x
  3. Step 3: Cross multiply
    1,525.13x = 2,287.85 × 414.56
  4. Step 4: Simplify right side
    1,525.13x = 948,454.74
  5. Step 5: Solve for x
    x = 948,454.74/1,525.13
  6. Step 6: Final answer
    x = 621.88

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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.