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Finding the Fourth Proportional to 551.35, 823.79 and 532.21

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Solution

The fourth proportional to 551.35, 823.79 and 532.21 is: 795.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.35 : 823.79 = 532.21 : x
  2. Step 2: Convert to fraction form
    551.35/823.79 = 532.21/x
  3. Step 3: Cross multiply
    551.35x = 823.79 × 532.21
  4. Step 4: Simplify right side
    551.35x = 438,429.28
  5. Step 5: Solve for x
    x = 438,429.28/551.35
  6. Step 6: Final answer
    x = 795.19

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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.