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Finding the Fourth Proportional to 1,502.73, 2,074.68 and 1,005.80

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Solution

The fourth proportional to 1,502.73, 2,074.68 and 1,005.80 is: 1,388.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,502.73 : 2,074.68 = 1,005.80 : x
  2. Step 2: Convert to fraction form
    1,502.73/2,074.68 = 1,005.80/x
  3. Step 3: Cross multiply
    1,502.73x = 2,074.68 × 1,005.80
  4. Step 4: Simplify right side
    1,502.73x = 2,086,702.77
  5. Step 5: Solve for x
    x = 2,086,702.77/1,502.73
  6. Step 6: Final answer
    x = 1,388.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.