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Finding the Fourth Proportional to 480.12, 660.58 and 423.88

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Solution

The fourth proportional to 480.12, 660.58 and 423.88 is: 583.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.12 : 660.58 = 423.88 : x
  2. Step 2: Convert to fraction form
    480.12/660.58 = 423.88/x
  3. Step 3: Cross multiply
    480.12x = 660.58 × 423.88
  4. Step 4: Simplify right side
    480.12x = 280,006.65
  5. Step 5: Solve for x
    x = 280,006.65/480.12
  6. Step 6: Final answer
    x = 583.20

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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.