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Finding the Fourth Proportional to 546.74, 754.41 and 313.88

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Solution

The fourth proportional to 546.74, 754.41 and 313.88 is: 433.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.74 : 754.41 = 313.88 : x
  2. Step 2: Convert to fraction form
    546.74/754.41 = 313.88/x
  3. Step 3: Cross multiply
    546.74x = 754.41 × 313.88
  4. Step 4: Simplify right side
    546.74x = 236,794.21
  5. Step 5: Solve for x
    x = 236,794.21/546.74
  6. Step 6: Final answer
    x = 433.10

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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.