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Finding the Fourth Proportional to 480.48, 666.60 and 463.20

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Solution

The fourth proportional to 480.48, 666.60 and 463.20 is: 642.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.48 : 666.60 = 463.20 : x
  2. Step 2: Convert to fraction form
    480.48/666.60 = 463.20/x
  3. Step 3: Cross multiply
    480.48x = 666.60 × 463.20
  4. Step 4: Simplify right side
    480.48x = 308,769.12
  5. Step 5: Solve for x
    x = 308,769.12/480.48
  6. Step 6: Final answer
    x = 642.63

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.