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Finding the Fourth Proportional to 687.27, 1,022.15 and 679.98

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Solution

The fourth proportional to 687.27, 1,022.15 and 679.98 is: 1,011.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.27 : 1,022.15 = 679.98 : x
  2. Step 2: Convert to fraction form
    687.27/1,022.15 = 679.98/x
  3. Step 3: Cross multiply
    687.27x = 1,022.15 × 679.98
  4. Step 4: Simplify right side
    687.27x = 695,038.16
  5. Step 5: Solve for x
    x = 695,038.16/687.27
  6. Step 6: Final answer
    x = 1,011.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.