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Finding the Fourth Proportional to 841.37, 1,161.11 and 547.13

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Solution

The fourth proportional to 841.37, 1,161.11 and 547.13 is: 755.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    841.37 : 1,161.11 = 547.13 : x
  2. Step 2: Convert to fraction form
    841.37/1,161.11 = 547.13/x
  3. Step 3: Cross multiply
    841.37x = 1,161.11 × 547.13
  4. Step 4: Simplify right side
    841.37x = 635,282.38
  5. Step 5: Solve for x
    x = 635,282.38/841.37
  6. Step 6: Final answer
    x = 755.06

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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.