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Finding the Fourth Proportional to 547.13, 754.84 and 314.12

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Solution

The fourth proportional to 547.13, 754.84 and 314.12 is: 433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.13 : 754.84 = 314.12 : x
  2. Step 2: Convert to fraction form
    547.13/754.84 = 314.12/x
  3. Step 3: Cross multiply
    547.13x = 754.84 × 314.12
  4. Step 4: Simplify right side
    547.13x = 237,110.34
  5. Step 5: Solve for x
    x = 237,110.34/547.13
  6. Step 6: Final answer
    x = 433.37

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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.