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Finding the Fourth Proportional to 563.31, 843.53 and 419.31

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Solution

The fourth proportional to 563.31, 843.53 and 419.31 is: 627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.31 : 843.53 = 419.31 : x
  2. Step 2: Convert to fraction form
    563.31/843.53 = 419.31/x
  3. Step 3: Cross multiply
    563.31x = 843.53 × 419.31
  4. Step 4: Simplify right side
    563.31x = 353,698.47
  5. Step 5: Solve for x
    x = 353,698.47/563.31
  6. Step 6: Final answer
    x = 627.89

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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.