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Finding the Fourth Proportional to 551.70, 759.78 and 404.10

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Solution

The fourth proportional to 551.70, 759.78 and 404.10 is: 556.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.70 : 759.78 = 404.10 : x
  2. Step 2: Convert to fraction form
    551.70/759.78 = 404.10/x
  3. Step 3: Cross multiply
    551.70x = 759.78 × 404.10
  4. Step 4: Simplify right side
    551.70x = 307,027.10
  5. Step 5: Solve for x
    x = 307,027.10/551.70
  6. Step 6: Final answer
    x = 556.51

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.