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Finding the Fourth Proportional to 720.69, 1,080.22 and 335.13

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Solution

The fourth proportional to 720.69, 1,080.22 and 335.13 is: 502.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    720.69 : 1,080.22 = 335.13 : x
  2. Step 2: Convert to fraction form
    720.69/1,080.22 = 335.13/x
  3. Step 3: Cross multiply
    720.69x = 1,080.22 × 335.13
  4. Step 4: Simplify right side
    720.69x = 362,014.13
  5. Step 5: Solve for x
    x = 362,014.13/720.69
  6. Step 6: Final answer
    x = 502.32

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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.