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Finding the Fourth Proportional to 644.32, 961.07 and 563.32

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Solution

The fourth proportional to 644.32, 961.07 and 563.32 is: 840.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.32 : 961.07 = 563.32 : x
  2. Step 2: Convert to fraction form
    644.32/961.07 = 563.32/x
  3. Step 3: Cross multiply
    644.32x = 961.07 × 563.32
  4. Step 4: Simplify right side
    644.32x = 541,389.95
  5. Step 5: Solve for x
    x = 541,389.95/644.32
  6. Step 6: Final answer
    x = 840.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.