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Finding the Fourth Proportional to 645.69, 969.77 and 563.70

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Solution

The fourth proportional to 645.69, 969.77 and 563.70 is: 846.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.69 : 969.77 = 563.70 : x
  2. Step 2: Convert to fraction form
    645.69/969.77 = 563.70/x
  3. Step 3: Cross multiply
    645.69x = 969.77 × 563.70
  4. Step 4: Simplify right side
    645.69x = 546,659.35
  5. Step 5: Solve for x
    x = 546,659.35/645.69
  6. Step 6: Final answer
    x = 846.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.