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Finding the Fourth Proportional to 551.72, 823.06 and 461

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Solution

The fourth proportional to 551.72, 823.06 and 461 is: 687.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.72 : 823.06 = 461 : x
  2. Step 2: Convert to fraction form
    551.72/823.06 = 461/x
  3. Step 3: Cross multiply
    551.72x = 823.06 × 461
  4. Step 4: Simplify right side
    551.72x = 379,430.66
  5. Step 5: Solve for x
    x = 379,430.66/551.72
  6. Step 6: Final answer
    x = 687.72

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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.