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Finding the Fourth Proportional to 551.52, 823.32 and 511.52

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Solution

The fourth proportional to 551.52, 823.32 and 511.52 is: 763.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.52 : 823.32 = 511.52 : x
  2. Step 2: Convert to fraction form
    551.52/823.32 = 511.52/x
  3. Step 3: Cross multiply
    551.52x = 823.32 × 511.52
  4. Step 4: Simplify right side
    551.52x = 421,144.65
  5. Step 5: Solve for x
    x = 421,144.65/551.52
  6. Step 6: Final answer
    x = 763.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.