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Finding the Fourth Proportional to 634.61, 949.91 and 469.98

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Solution

The fourth proportional to 634.61, 949.91 and 469.98 is: 703.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.61 : 949.91 = 469.98 : x
  2. Step 2: Convert to fraction form
    634.61/949.91 = 469.98/x
  3. Step 3: Cross multiply
    634.61x = 949.91 × 469.98
  4. Step 4: Simplify right side
    634.61x = 446,436.35
  5. Step 5: Solve for x
    x = 446,436.35/634.61
  6. Step 6: Final answer
    x = 703.49

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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.