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Finding the Fourth Proportional to 711.88, 1,067.73 and 590.92

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Solution

The fourth proportional to 711.88, 1,067.73 and 590.92 is: 886.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.88 : 1,067.73 = 590.92 : x
  2. Step 2: Convert to fraction form
    711.88/1,067.73 = 590.92/x
  3. Step 3: Cross multiply
    711.88x = 1,067.73 × 590.92
  4. Step 4: Simplify right side
    711.88x = 630,943.01
  5. Step 5: Solve for x
    x = 630,943.01/711.88
  6. Step 6: Final answer
    x = 886.31

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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.