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Finding the Fourth Proportional to 546.76, 754.54 and 313.90

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Solution

The fourth proportional to 546.76, 754.54 and 313.90 is: 433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.76 : 754.54 = 313.90 : x
  2. Step 2: Convert to fraction form
    546.76/754.54 = 313.90/x
  3. Step 3: Cross multiply
    546.76x = 754.54 × 313.90
  4. Step 4: Simplify right side
    546.76x = 236,850.11
  5. Step 5: Solve for x
    x = 236,850.11/546.76
  6. Step 6: Final answer
    x = 433.19

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Find fourth proportional to 273.38, 377.27 and 156.95
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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.