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Finding the Fourth Proportional to 461.42, 691.32 and 330.74

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Solution

The fourth proportional to 461.42, 691.32 and 330.74 is: 495.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.42 : 691.32 = 330.74 : x
  2. Step 2: Convert to fraction form
    461.42/691.32 = 330.74/x
  3. Step 3: Cross multiply
    461.42x = 691.32 × 330.74
  4. Step 4: Simplify right side
    461.42x = 228,647.18
  5. Step 5: Solve for x
    x = 228,647.18/461.42
  6. Step 6: Final answer
    x = 495.53

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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.