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Finding the Fourth Proportional to 551.53, 823.37 and 469.54

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Solution

The fourth proportional to 551.53, 823.37 and 469.54 is: 700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.53 : 823.37 = 469.54 : x
  2. Step 2: Convert to fraction form
    551.53/823.37 = 469.54/x
  3. Step 3: Cross multiply
    551.53x = 823.37 × 469.54
  4. Step 4: Simplify right side
    551.53x = 386,605.15
  5. Step 5: Solve for x
    x = 386,605.15/551.53
  6. Step 6: Final answer
    x = 700.97

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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.