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Finding the Fourth Proportional to 687.03, 1,024.73 and 648.42

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Solution

The fourth proportional to 687.03, 1,024.73 and 648.42 is: 967.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.03 : 1,024.73 = 648.42 : x
  2. Step 2: Convert to fraction form
    687.03/1,024.73 = 648.42/x
  3. Step 3: Cross multiply
    687.03x = 1,024.73 × 648.42
  4. Step 4: Simplify right side
    687.03x = 664,452.18
  5. Step 5: Solve for x
    x = 664,452.18/687.03
  6. Step 6: Final answer
    x = 967.14

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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.