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Finding the Fourth Proportional to 865.54, 1,297.23 and 556.57

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Solution

The fourth proportional to 865.54, 1,297.23 and 556.57 is: 834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.54 : 1,297.23 = 556.57 : x
  2. Step 2: Convert to fraction form
    865.54/1,297.23 = 556.57/x
  3. Step 3: Cross multiply
    865.54x = 1,297.23 × 556.57
  4. Step 4: Simplify right side
    865.54x = 721,999.30
  5. Step 5: Solve for x
    x = 721,999.30/865.54
  6. Step 6: Final answer
    x = 834.16

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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.