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Finding the Fourth Proportional to 461.94, 691.38 and 398.58

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Solution

The fourth proportional to 461.94, 691.38 and 398.58 is: 596.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.94 : 691.38 = 398.58 : x
  2. Step 2: Convert to fraction form
    461.94/691.38 = 398.58/x
  3. Step 3: Cross multiply
    461.94x = 691.38 × 398.58
  4. Step 4: Simplify right side
    461.94x = 275,570.24
  5. Step 5: Solve for x
    x = 275,570.24/461.94
  6. Step 6: Final answer
    x = 596.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.