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Finding the Fourth Proportional to 634.40, 950.99 and 469.16

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Solution

The fourth proportional to 634.40, 950.99 and 469.16 is: 703.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.40 : 950.99 = 469.16 : x
  2. Step 2: Convert to fraction form
    634.40/950.99 = 469.16/x
  3. Step 3: Cross multiply
    634.40x = 950.99 × 469.16
  4. Step 4: Simplify right side
    634.40x = 446,159.37
  5. Step 5: Solve for x
    x = 446,159.37/634.40
  6. Step 6: Final answer
    x = 703.28

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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.