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Finding the Fourth Proportional to 618.30, 925.63 and 456.71

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Solution

The fourth proportional to 618.30, 925.63 and 456.71 is: 683.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    618.30 : 925.63 = 456.71 : x
  2. Step 2: Convert to fraction form
    618.30/925.63 = 456.71/x
  3. Step 3: Cross multiply
    618.30x = 925.63 × 456.71
  4. Step 4: Simplify right side
    618.30x = 422,738.71
  5. Step 5: Solve for x
    x = 422,738.71/618.30
  6. Step 6: Final answer
    x = 683.71

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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.