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Finding the Fourth Proportional to 650.25, 974.56 and 325.71

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Solution

The fourth proportional to 650.25, 974.56 and 325.71 is: 488.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.25 : 974.56 = 325.71 : x
  2. Step 2: Convert to fraction form
    650.25/974.56 = 325.71/x
  3. Step 3: Cross multiply
    650.25x = 974.56 × 325.71
  4. Step 4: Simplify right side
    650.25x = 317,423.94
  5. Step 5: Solve for x
    x = 317,423.94/650.25
  6. Step 6: Final answer
    x = 488.16

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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.