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Finding the Fourth Proportional to 551.59, 827.58 and 340.75

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Solution

The fourth proportional to 551.59, 827.58 and 340.75 is: 511.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.59 : 827.58 = 340.75 : x
  2. Step 2: Convert to fraction form
    551.59/827.58 = 340.75/x
  3. Step 3: Cross multiply
    551.59x = 827.58 × 340.75
  4. Step 4: Simplify right side
    551.59x = 281,995.82
  5. Step 5: Solve for x
    x = 281,995.82/551.59
  6. Step 6: Final answer
    x = 511.24

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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.