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Finding the Fourth Proportional to 563.24, 776.84 and 522.28

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Solution

The fourth proportional to 563.24, 776.84 and 522.28 is: 720.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.24 : 776.84 = 522.28 : x
  2. Step 2: Convert to fraction form
    563.24/776.84 = 522.28/x
  3. Step 3: Cross multiply
    563.24x = 776.84 × 522.28
  4. Step 4: Simplify right side
    563.24x = 405,728.00
  5. Step 5: Solve for x
    x = 405,728.00/563.24
  6. Step 6: Final answer
    x = 720.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.