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Finding the Fourth Proportional to 635.27, 951.62 and 497.66

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Solution

The fourth proportional to 635.27, 951.62 and 497.66 is: 745.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    635.27 : 951.62 = 497.66 : x
  2. Step 2: Convert to fraction form
    635.27/951.62 = 497.66/x
  3. Step 3: Cross multiply
    635.27x = 951.62 × 497.66
  4. Step 4: Simplify right side
    635.27x = 473,583.21
  5. Step 5: Solve for x
    x = 473,583.21/635.27
  6. Step 6: Final answer
    x = 745.48

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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.