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Finding the Fourth Proportional to 461.45, 691.09 and 429.05

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Solution

The fourth proportional to 461.45, 691.09 and 429.05 is: 642.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.45 : 691.09 = 429.05 : x
  2. Step 2: Convert to fraction form
    461.45/691.09 = 429.05/x
  3. Step 3: Cross multiply
    461.45x = 691.09 × 429.05
  4. Step 4: Simplify right side
    461.45x = 296,512.16
  5. Step 5: Solve for x
    x = 296,512.16/461.45
  6. Step 6: Final answer
    x = 642.57

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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.