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Finding the Fourth Proportional to 563.22, 775.71 and 464.94

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Solution

The fourth proportional to 563.22, 775.71 and 464.94 is: 640.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.22 : 775.71 = 464.94 : x
  2. Step 2: Convert to fraction form
    563.22/775.71 = 464.94/x
  3. Step 3: Cross multiply
    563.22x = 775.71 × 464.94
  4. Step 4: Simplify right side
    563.22x = 360,658.61
  5. Step 5: Solve for x
    x = 360,658.61/563.22
  6. Step 6: Final answer
    x = 640.35

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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.