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Finding the Fourth Proportional to 1,502.66, 2,250.66 and 679.70

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Solution

The fourth proportional to 1,502.66, 2,250.66 and 679.70 is: 1,018.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.66 : 2,250.66 = 679.70 : x
  2. Step 2: Convert to fraction form
    1,502.66/2,250.66 = 679.70/x
  3. Step 3: Cross multiply
    1,502.66x = 2,250.66 × 679.70
  4. Step 4: Simplify right side
    1,502.66x = 1,529,773.60
  5. Step 5: Solve for x
    x = 1,529,773.60/1,502.66
  6. Step 6: Final answer
    x = 1,018.04

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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.