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Finding the Fourth Proportional to 870.56, 1,305.67 and 725.25

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Solution

The fourth proportional to 870.56, 1,305.67 and 725.25 is: 1,087.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.56 : 1,305.67 = 725.25 : x
  2. Step 2: Convert to fraction form
    870.56/1,305.67 = 725.25/x
  3. Step 3: Cross multiply
    870.56x = 1,305.67 × 725.25
  4. Step 4: Simplify right side
    870.56x = 946,941.61
  5. Step 5: Solve for x
    x = 946,941.61/870.56
  6. Step 6: Final answer
    x = 1,087.73

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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.