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Finding the Fourth Proportional to 711.16, 1,068.36 and 682

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Solution

The fourth proportional to 711.16, 1,068.36 and 682 is: 1,024.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.16 : 1,068.36 = 682 : x
  2. Step 2: Convert to fraction form
    711.16/1,068.36 = 682/x
  3. Step 3: Cross multiply
    711.16x = 1,068.36 × 682
  4. Step 4: Simplify right side
    711.16x = 728,621.52
  5. Step 5: Solve for x
    x = 728,621.52/711.16
  6. Step 6: Final answer
    x = 1,024.55

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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.