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Finding the Fourth Proportional to 563.05, 844.77 and 512.02

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Solution

The fourth proportional to 563.05, 844.77 and 512.02 is: 768.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.05 : 844.77 = 512.02 : x
  2. Step 2: Convert to fraction form
    563.05/844.77 = 512.02/x
  3. Step 3: Cross multiply
    563.05x = 844.77 × 512.02
  4. Step 4: Simplify right side
    563.05x = 432,539.14
  5. Step 5: Solve for x
    x = 432,539.14/563.05
  6. Step 6: Final answer
    x = 768.21

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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.