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Finding the Fourth Proportional to 461.34, 691.56 and 353.58

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Solution

The fourth proportional to 461.34, 691.56 and 353.58 is: 530.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.34 : 691.56 = 353.58 : x
  2. Step 2: Convert to fraction form
    461.34/691.56 = 353.58/x
  3. Step 3: Cross multiply
    461.34x = 691.56 × 353.58
  4. Step 4: Simplify right side
    461.34x = 244,521.78
  5. Step 5: Solve for x
    x = 244,521.78/461.34
  6. Step 6: Final answer
    x = 530.03

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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.