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Finding the Fourth Proportional to 1,164.56, 1,746.38 and 725.18

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Solution

The fourth proportional to 1,164.56, 1,746.38 and 725.18 is: 1,087.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,164.56 : 1,746.38 = 725.18 : x
  2. Step 2: Convert to fraction form
    1,164.56/1,746.38 = 725.18/x
  3. Step 3: Cross multiply
    1,164.56x = 1,746.38 × 725.18
  4. Step 4: Simplify right side
    1,164.56x = 1,266,432.93
  5. Step 5: Solve for x
    x = 1,266,432.93/1,164.56
  6. Step 6: Final answer
    x = 1,087.48

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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.