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Finding the Fourth Proportional to 643.14, 969.98 and 572.67

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Solution

The fourth proportional to 643.14, 969.98 and 572.67 is: 863.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.14 : 969.98 = 572.67 : x
  2. Step 2: Convert to fraction form
    643.14/969.98 = 572.67/x
  3. Step 3: Cross multiply
    643.14x = 969.98 × 572.67
  4. Step 4: Simplify right side
    643.14x = 555,475.58
  5. Step 5: Solve for x
    x = 555,475.58/643.14
  6. Step 6: Final answer
    x = 863.69

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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.