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Finding the Fourth Proportional to 480, 663.60 and 459.60

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Solution

The fourth proportional to 480, 663.60 and 459.60 is: 635.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    480 : 663.60 = 459.60 : x
  2. Step 2: Convert to fraction form
    480/663.60 = 459.60/x
  3. Step 3: Cross multiply
    480x = 663.60 × 459.60
  4. Step 4: Simplify right side
    480x = 304,990.56
  5. Step 5: Solve for x
    x = 304,990.56/480
  6. Step 6: Final answer
    x = 635.40

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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.