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Finding the Fourth Proportional to 551.50, 823.31 and 532.28

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Solution

The fourth proportional to 551.50, 823.31 and 532.28 is: 794.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.50 : 823.31 = 532.28 : x
  2. Step 2: Convert to fraction form
    551.50/823.31 = 532.28/x
  3. Step 3: Cross multiply
    551.50x = 823.31 × 532.28
  4. Step 4: Simplify right side
    551.50x = 438,231.45
  5. Step 5: Solve for x
    x = 438,231.45/551.50
  6. Step 6: Final answer
    x = 794.62

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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.