Home / 1,525.06-2,287.40-537.70

Finding the Fourth Proportional to 1,525.06, 2,287.40 and 537.70

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Solution

The fourth proportional to 1,525.06, 2,287.40 and 537.70 is: 806.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,525.06 : 2,287.40 = 537.70 : x
  2. Step 2: Convert to fraction form
    1,525.06/2,287.40 = 537.70/x
  3. Step 3: Cross multiply
    1,525.06x = 2,287.40 × 537.70
  4. Step 4: Simplify right side
    1,525.06x = 1,229,934.98
  5. Step 5: Solve for x
    x = 1,229,934.98/1,525.06
  6. Step 6: Final answer
    x = 806.48

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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.