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Finding the Fourth Proportional to 566.60, 849.10 and 419.20

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Solution

The fourth proportional to 566.60, 849.10 and 419.20 is: 628.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.60 : 849.10 = 419.20 : x
  2. Step 2: Convert to fraction form
    566.60/849.10 = 419.20/x
  3. Step 3: Cross multiply
    566.60x = 849.10 × 419.20
  4. Step 4: Simplify right side
    566.60x = 355,942.72
  5. Step 5: Solve for x
    x = 355,942.72/566.60
  6. Step 6: Final answer
    x = 628.21

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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.