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Finding the Fourth Proportional to 713.12, 1,067.06 and 420.75

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Solution

The fourth proportional to 713.12, 1,067.06 and 420.75 is: 629.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.12 : 1,067.06 = 420.75 : x
  2. Step 2: Convert to fraction form
    713.12/1,067.06 = 420.75/x
  3. Step 3: Cross multiply
    713.12x = 1,067.06 × 420.75
  4. Step 4: Simplify right side
    713.12x = 448,966.55
  5. Step 5: Solve for x
    x = 448,966.55/713.12
  6. Step 6: Final answer
    x = 629.59

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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.