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Finding the Fourth Proportional to 567.22, 780.38 and 551.92

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Solution

The fourth proportional to 567.22, 780.38 and 551.92 is: 759.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.22 : 780.38 = 551.92 : x
  2. Step 2: Convert to fraction form
    567.22/780.38 = 551.92/x
  3. Step 3: Cross multiply
    567.22x = 780.38 × 551.92
  4. Step 4: Simplify right side
    567.22x = 430,707.33
  5. Step 5: Solve for x
    x = 430,707.33/567.22
  6. Step 6: Final answer
    x = 759.33

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.