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Finding the Fourth Proportional to 644.19, 969.90 and 567.63

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Solution

The fourth proportional to 644.19, 969.90 and 567.63 is: 854.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    644.19 : 969.90 = 567.63 : x
  2. Step 2: Convert to fraction form
    644.19/969.90 = 567.63/x
  3. Step 3: Cross multiply
    644.19x = 969.90 × 567.63
  4. Step 4: Simplify right side
    644.19x = 550,544.34
  5. Step 5: Solve for x
    x = 550,544.34/644.19
  6. Step 6: Final answer
    x = 854.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.