Home / 1,502.17-2,254.25-680.46

Finding the Fourth Proportional to 1,502.17, 2,254.25 and 680.46

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Solution

The fourth proportional to 1,502.17, 2,254.25 and 680.46 is: 1,021.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.17 : 2,254.25 = 680.46 : x
  2. Step 2: Convert to fraction form
    1,502.17/2,254.25 = 680.46/x
  3. Step 3: Cross multiply
    1,502.17x = 2,254.25 × 680.46
  4. Step 4: Simplify right side
    1,502.17x = 1,533,926.96
  5. Step 5: Solve for x
    x = 1,533,926.96/1,502.17
  6. Step 6: Final answer
    x = 1,021.14

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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.