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Finding the Fourth Proportional to 720.48, 1,079.78 and 330.53

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Solution

The fourth proportional to 720.48, 1,079.78 and 330.53 is: 495.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.48 : 1,079.78 = 330.53 : x
  2. Step 2: Convert to fraction form
    720.48/1,079.78 = 330.53/x
  3. Step 3: Cross multiply
    720.48x = 1,079.78 × 330.53
  4. Step 4: Simplify right side
    720.48x = 356,900.73
  5. Step 5: Solve for x
    x = 356,900.73/720.48
  6. Step 6: Final answer
    x = 495.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.