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Finding the Fourth Proportional to 551.51, 828.41 and 533.06

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Solution

The fourth proportional to 551.51, 828.41 and 533.06 is: 800.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.51 : 828.41 = 533.06 : x
  2. Step 2: Convert to fraction form
    551.51/828.41 = 533.06/x
  3. Step 3: Cross multiply
    551.51x = 828.41 × 533.06
  4. Step 4: Simplify right side
    551.51x = 441,596.19
  5. Step 5: Solve for x
    x = 441,596.19/551.51
  6. Step 6: Final answer
    x = 800.71

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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.