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Finding the Fourth Proportional to 551.90, 823.58 and 490.55

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Solution

The fourth proportional to 551.90, 823.58 and 490.55 is: 732.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.90 : 823.58 = 490.55 : x
  2. Step 2: Convert to fraction form
    551.90/823.58 = 490.55/x
  3. Step 3: Cross multiply
    551.90x = 823.58 × 490.55
  4. Step 4: Simplify right side
    551.90x = 404,000.60
  5. Step 5: Solve for x
    x = 404,000.60/551.90
  6. Step 6: Final answer
    x = 732.02

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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.