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Finding the Fourth Proportional to 634.10, 952.05 and 497.30

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Solution

The fourth proportional to 634.10, 952.05 and 497.30 is: 746.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.10 : 952.05 = 497.30 : x
  2. Step 2: Convert to fraction form
    634.10/952.05 = 497.30/x
  3. Step 3: Cross multiply
    634.10x = 952.05 × 497.30
  4. Step 4: Simplify right side
    634.10x = 473,454.47
  5. Step 5: Solve for x
    x = 473,454.47/634.10
  6. Step 6: Final answer
    x = 746.66

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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.