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Finding the Fourth Proportional to 2,658.80, 3,988.09 and 711.00

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Solution

The fourth proportional to 2,658.80, 3,988.09 and 711.00 is: 1,066.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,658.80 : 3,988.09 = 711.00 : x
  2. Step 2: Convert to fraction form
    2,658.80/3,988.09 = 711.00/x
  3. Step 3: Cross multiply
    2,658.80x = 3,988.09 × 711.00
  4. Step 4: Simplify right side
    2,658.80x = 2,835,540.10
  5. Step 5: Solve for x
    x = 2,835,540.10/2,658.80
  6. Step 6: Final answer
    x = 1,066.47

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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.