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Finding the Fourth Proportional to 461.86, 691.91 and 369.50

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Solution

The fourth proportional to 461.86, 691.91 and 369.50 is: 553.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.86 : 691.91 = 369.50 : x
  2. Step 2: Convert to fraction form
    461.86/691.91 = 369.50/x
  3. Step 3: Cross multiply
    461.86x = 691.91 × 369.50
  4. Step 4: Simplify right side
    461.86x = 255,655.44
  5. Step 5: Solve for x
    x = 255,655.44/461.86
  6. Step 6: Final answer
    x = 553.54

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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.