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Finding the Fourth Proportional to 551.76, 826.74 and 356.28

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Solution

The fourth proportional to 551.76, 826.74 and 356.28 is: 533.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.76 : 826.74 = 356.28 : x
  2. Step 2: Convert to fraction form
    551.76/826.74 = 356.28/x
  3. Step 3: Cross multiply
    551.76x = 826.74 × 356.28
  4. Step 4: Simplify right side
    551.76x = 294,550.93
  5. Step 5: Solve for x
    x = 294,550.93/551.76
  6. Step 6: Final answer
    x = 533.84

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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.