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Finding the Fourth Proportional to 694.20, 956.90 and 546.59

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Solution

The fourth proportional to 694.20, 956.90 and 546.59 is: 753.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    694.20 : 956.90 = 546.59 : x
  2. Step 2: Convert to fraction form
    694.20/956.90 = 546.59/x
  3. Step 3: Cross multiply
    694.20x = 956.90 × 546.59
  4. Step 4: Simplify right side
    694.20x = 523,024.45
  5. Step 5: Solve for x
    x = 523,024.45/694.20
  6. Step 6: Final answer
    x = 753.42

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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.