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Finding the Fourth Proportional to 1,285.23, 1,773.54 and 725.61

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Solution

The fourth proportional to 1,285.23, 1,773.54 and 725.61 is: 1,001.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,285.23 : 1,773.54 = 725.61 : x
  2. Step 2: Convert to fraction form
    1,285.23/1,773.54 = 725.61/x
  3. Step 3: Cross multiply
    1,285.23x = 1,773.54 × 725.61
  4. Step 4: Simplify right side
    1,285.23x = 1,286,898.36
  5. Step 5: Solve for x
    x = 1,286,898.36/1,285.23
  6. Step 6: Final answer
    x = 1,001.30

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1.5x scale

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.