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Finding the Fourth Proportional to 709, 1,062.80 and 338.16

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Solution

The fourth proportional to 709, 1,062.80 and 338.16 is: 506.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    709 : 1,062.80 = 338.16 : x
  2. Step 2: Convert to fraction form
    709/1,062.80 = 338.16/x
  3. Step 3: Cross multiply
    709x = 1,062.80 × 338.16
  4. Step 4: Simplify right side
    709x = 359,396.45
  5. Step 5: Solve for x
    x = 359,396.45/709
  6. Step 6: Final answer
    x = 506.91

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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.