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Finding the Fourth Proportional to 479.92, 663.60 and 407.20

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Solution

The fourth proportional to 479.92, 663.60 and 407.20 is: 563.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    479.92 : 663.60 = 407.20 : x
  2. Step 2: Convert to fraction form
    479.92/663.60 = 407.20/x
  3. Step 3: Cross multiply
    479.92x = 663.60 × 407.20
  4. Step 4: Simplify right side
    479.92x = 270,217.92
  5. Step 5: Solve for x
    x = 270,217.92/479.92
  6. Step 6: Final answer
    x = 563.05

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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.