Home / 2,407.20-3,610.49-763.76

Finding the Fourth Proportional to 2,407.20, 3,610.49 and 763.76

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Solution

The fourth proportional to 2,407.20, 3,610.49 and 763.76 is: 1,145.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,407.20 : 3,610.49 = 763.76 : x
  2. Step 2: Convert to fraction form
    2,407.20/3,610.49 = 763.76/x
  3. Step 3: Cross multiply
    2,407.20x = 3,610.49 × 763.76
  4. Step 4: Simplify right side
    2,407.20x = 2,757,547.84
  5. Step 5: Solve for x
    x = 2,757,547.84/2,407.20
  6. Step 6: Final answer
    x = 1,145.54

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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.