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Finding the Fourth Proportional to 711.72, 1,067.58 and 468.72

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Solution

The fourth proportional to 711.72, 1,067.58 and 468.72 is: 703.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.72 : 1,067.58 = 468.72 : x
  2. Step 2: Convert to fraction form
    711.72/1,067.58 = 468.72/x
  3. Step 3: Cross multiply
    711.72x = 1,067.58 × 468.72
  4. Step 4: Simplify right side
    711.72x = 500,396.10
  5. Step 5: Solve for x
    x = 500,396.10/711.72
  6. Step 6: Final answer
    x = 703.08

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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.