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Finding the Fourth Proportional to 546.34, 753.78 and 313.42

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Solution

The fourth proportional to 546.34, 753.78 and 313.42 is: 432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    546.34 : 753.78 = 313.42 : x
  2. Step 2: Convert to fraction form
    546.34/753.78 = 313.42/x
  3. Step 3: Cross multiply
    546.34x = 753.78 × 313.42
  4. Step 4: Simplify right side
    546.34x = 236,249.73
  5. Step 5: Solve for x
    x = 236,249.73/546.34
  6. Step 6: Final answer
    x = 432.42

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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.