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Finding the Fourth Proportional to 563.50, 844.53 and 418.06

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Solution

The fourth proportional to 563.50, 844.53 and 418.06 is: 626.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.50 : 844.53 = 418.06 : x
  2. Step 2: Convert to fraction form
    563.50/844.53 = 418.06/x
  3. Step 3: Cross multiply
    563.50x = 844.53 × 418.06
  4. Step 4: Simplify right side
    563.50x = 353,064.21
  5. Step 5: Solve for x
    x = 353,064.21/563.50
  6. Step 6: Final answer
    x = 626.56

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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.