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Finding the Fourth Proportional to 650.75, 975.71 and 434.07

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Solution

The fourth proportional to 650.75, 975.71 and 434.07 is: 650.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.75 : 975.71 = 434.07 : x
  2. Step 2: Convert to fraction form
    650.75/975.71 = 434.07/x
  3. Step 3: Cross multiply
    650.75x = 975.71 × 434.07
  4. Step 4: Simplify right side
    650.75x = 423,527.52
  5. Step 5: Solve for x
    x = 423,527.52/650.75
  6. Step 6: Final answer
    x = 650.83

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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.