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Finding the Fourth Proportional to 839.16, 1,261.24 and 567

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Solution

The fourth proportional to 839.16, 1,261.24 and 567 is: 852.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    839.16 : 1,261.24 = 567 : x
  2. Step 2: Convert to fraction form
    839.16/1,261.24 = 567/x
  3. Step 3: Cross multiply
    839.16x = 1,261.24 × 567
  4. Step 4: Simplify right side
    839.16x = 715,121.66
  5. Step 5: Solve for x
    x = 715,121.66/839.16
  6. Step 6: Final answer
    x = 852.19

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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.