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Finding the Fourth Proportional to 711.97, 1,068.10 and 403.97

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Solution

The fourth proportional to 711.97, 1,068.10 and 403.97 is: 606.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.97 : 1,068.10 = 403.97 : x
  2. Step 2: Convert to fraction form
    711.97/1,068.10 = 403.97/x
  3. Step 3: Cross multiply
    711.97x = 1,068.10 × 403.97
  4. Step 4: Simplify right side
    711.97x = 431,480.36
  5. Step 5: Solve for x
    x = 431,480.36/711.97
  6. Step 6: Final answer
    x = 606.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.