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Finding the Fourth Proportional to 456.30, 628.75 and 422.65

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Solution

The fourth proportional to 456.30, 628.75 and 422.65 is: 582.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    456.30 : 628.75 = 422.65 : x
  2. Step 2: Convert to fraction form
    456.30/628.75 = 422.65/x
  3. Step 3: Cross multiply
    456.30x = 628.75 × 422.65
  4. Step 4: Simplify right side
    456.30x = 265,742.50
  5. Step 5: Solve for x
    x = 265,742.50/456.30
  6. Step 6: Final answer
    x = 582.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.