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Finding the Fourth Proportional to 688.36, 1,032.30 and 551.08

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Solution

The fourth proportional to 688.36, 1,032.30 and 551.08 is: 826.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    688.36 : 1,032.30 = 551.08 : x
  2. Step 2: Convert to fraction form
    688.36/1,032.30 = 551.08/x
  3. Step 3: Cross multiply
    688.36x = 1,032.30 × 551.08
  4. Step 4: Simplify right side
    688.36x = 568,879.88
  5. Step 5: Solve for x
    x = 568,879.88/688.36
  6. Step 6: Final answer
    x = 826.43

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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.