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Finding the Fourth Proportional to 565.50, 849.03 and 404.10

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Solution

The fourth proportional to 565.50, 849.03 and 404.10 is: 606.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.50 : 849.03 = 404.10 : x
  2. Step 2: Convert to fraction form
    565.50/849.03 = 404.10/x
  3. Step 3: Cross multiply
    565.50x = 849.03 × 404.10
  4. Step 4: Simplify right side
    565.50x = 343,093.02
  5. Step 5: Solve for x
    x = 343,093.02/565.50
  6. Step 6: Final answer
    x = 606.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.