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Finding the Fourth Proportional to 634.50, 950.76 and 305.08

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Solution

The fourth proportional to 634.50, 950.76 and 305.08 is: 457.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.50 : 950.76 = 305.08 : x
  2. Step 2: Convert to fraction form
    634.50/950.76 = 305.08/x
  3. Step 3: Cross multiply
    634.50x = 950.76 × 305.08
  4. Step 4: Simplify right side
    634.50x = 290,057.10
  5. Step 5: Solve for x
    x = 290,057.10/634.50
  6. Step 6: Final answer
    x = 457.14

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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.