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Finding the Fourth Proportional to 690.91, 1,028.53 and 687.27

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Solution

The fourth proportional to 690.91, 1,028.53 and 687.27 is: 1,023.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    690.91 : 1,028.53 = 687.27 : x
  2. Step 2: Convert to fraction form
    690.91/1,028.53 = 687.27/x
  3. Step 3: Cross multiply
    690.91x = 1,028.53 × 687.27
  4. Step 4: Simplify right side
    690.91x = 706,877.81
  5. Step 5: Solve for x
    x = 706,877.81/690.91
  6. Step 6: Final answer
    x = 1,023.11

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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.