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Finding the Fourth Proportional to 563.48, 844.40 and 419.03

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Solution

The fourth proportional to 563.48, 844.40 and 419.03 is: 627.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.48 : 844.40 = 419.03 : x
  2. Step 2: Convert to fraction form
    563.48/844.40 = 419.03/x
  3. Step 3: Cross multiply
    563.48x = 844.40 × 419.03
  4. Step 4: Simplify right side
    563.48x = 353,825.76
  5. Step 5: Solve for x
    x = 353,825.76/563.48
  6. Step 6: Final answer
    x = 627.94

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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.