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Finding the Fourth Proportional to 551.06, 826.78 and 345.39

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Solution

The fourth proportional to 551.06, 826.78 and 345.39 is: 518.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.06 : 826.78 = 345.39 : x
  2. Step 2: Convert to fraction form
    551.06/826.78 = 345.39/x
  3. Step 3: Cross multiply
    551.06x = 826.78 × 345.39
  4. Step 4: Simplify right side
    551.06x = 285,561.52
  5. Step 5: Solve for x
    x = 285,561.52/551.06
  6. Step 6: Final answer
    x = 518.20

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.