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Finding the Fourth Proportional to 486.24, 669.38 and 423.20

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Solution

The fourth proportional to 486.24, 669.38 and 423.20 is: 582.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    486.24 : 669.38 = 423.20 : x
  2. Step 2: Convert to fraction form
    486.24/669.38 = 423.20/x
  3. Step 3: Cross multiply
    486.24x = 669.38 × 423.20
  4. Step 4: Simplify right side
    486.24x = 283,281.62
  5. Step 5: Solve for x
    x = 283,281.62/486.24
  6. Step 6: Final answer
    x = 582.60

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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.