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Finding the Fourth Proportional to 634.91, 952.26 and 430.79

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Solution

The fourth proportional to 634.91, 952.26 and 430.79 is: 646.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    634.91 : 952.26 = 430.79 : x
  2. Step 2: Convert to fraction form
    634.91/952.26 = 430.79/x
  3. Step 3: Cross multiply
    634.91x = 952.26 × 430.79
  4. Step 4: Simplify right side
    634.91x = 410,225.74
  5. Step 5: Solve for x
    x = 410,225.74/634.91
  6. Step 6: Final answer
    x = 646.11

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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.