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Finding the Fourth Proportional to 650.94, 974.63 and 342.12

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Solution

The fourth proportional to 650.94, 974.63 and 342.12 is: 512.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.94 : 974.63 = 342.12 : x
  2. Step 2: Convert to fraction form
    650.94/974.63 = 342.12/x
  3. Step 3: Cross multiply
    650.94x = 974.63 × 342.12
  4. Step 4: Simplify right side
    650.94x = 333,444.93
  5. Step 5: Solve for x
    x = 333,444.93/650.94
  6. Step 6: Final answer
    x = 512.25

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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.