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Finding the Fourth Proportional to 720.16, 1,080.06 and 349.73

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Solution

The fourth proportional to 720.16, 1,080.06 and 349.73 is: 524.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.16 : 1,080.06 = 349.73 : x
  2. Step 2: Convert to fraction form
    720.16/1,080.06 = 349.73/x
  3. Step 3: Cross multiply
    720.16x = 1,080.06 × 349.73
  4. Step 4: Simplify right side
    720.16x = 377,729.38
  5. Step 5: Solve for x
    x = 377,729.38/720.16
  6. Step 6: Final answer
    x = 524.51

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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.