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Finding the Fourth Proportional to 711.98, 1,067.06 and 665.90

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Solution

The fourth proportional to 711.98, 1,067.06 and 665.90 is: 998.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.98 : 1,067.06 = 665.90 : x
  2. Step 2: Convert to fraction form
    711.98/1,067.06 = 665.90/x
  3. Step 3: Cross multiply
    711.98x = 1,067.06 × 665.90
  4. Step 4: Simplify right side
    711.98x = 710,555.25
  5. Step 5: Solve for x
    x = 710,555.25/711.98
  6. Step 6: Final answer
    x = 998.00

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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.