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Finding the Fourth Proportional to 551.58, 821.62 and 522.37

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Solution

The fourth proportional to 551.58, 821.62 and 522.37 is: 778.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.58 : 821.62 = 522.37 : x
  2. Step 2: Convert to fraction form
    551.58/821.62 = 522.37/x
  3. Step 3: Cross multiply
    551.58x = 821.62 × 522.37
  4. Step 4: Simplify right side
    551.58x = 429,189.64
  5. Step 5: Solve for x
    x = 429,189.64/551.58
  6. Step 6: Final answer
    x = 778.11

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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.