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Finding the Fourth Proportional to 688.23, 1,027.89 and 584.42

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Solution

The fourth proportional to 688.23, 1,027.89 and 584.42 is: 872.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.23 : 1,027.89 = 584.42 : x
  2. Step 2: Convert to fraction form
    688.23/1,027.89 = 584.42/x
  3. Step 3: Cross multiply
    688.23x = 1,027.89 × 584.42
  4. Step 4: Simplify right side
    688.23x = 600,714.33
  5. Step 5: Solve for x
    x = 600,714.33/688.23
  6. Step 6: Final answer
    x = 872.84

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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.