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Finding the Fourth Proportional to 650.25, 974.01 and 324.93

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Solution

The fourth proportional to 650.25, 974.01 and 324.93 is: 486.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.25 : 974.01 = 324.93 : x
  2. Step 2: Convert to fraction form
    650.25/974.01 = 324.93/x
  3. Step 3: Cross multiply
    650.25x = 974.01 × 324.93
  4. Step 4: Simplify right side
    650.25x = 316,485.07
  5. Step 5: Solve for x
    x = 316,485.07/650.25
  6. Step 6: Final answer
    x = 486.71

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1.5x scale

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.