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Finding the Fourth Proportional to 551.36, 822.74 and 493.10

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Solution

The fourth proportional to 551.36, 822.74 and 493.10 is: 735.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.36 : 822.74 = 493.10 : x
  2. Step 2: Convert to fraction form
    551.36/822.74 = 493.10/x
  3. Step 3: Cross multiply
    551.36x = 822.74 × 493.10
  4. Step 4: Simplify right side
    551.36x = 405,689.60
  5. Step 5: Solve for x
    x = 405,689.60/551.36
  6. Step 6: Final answer
    x = 735.79

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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.