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Finding the Fourth Proportional to 649.71, 969.82 and 563.65

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Solution

The fourth proportional to 649.71, 969.82 and 563.65 is: 841.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.71 : 969.82 = 563.65 : x
  2. Step 2: Convert to fraction form
    649.71/969.82 = 563.65/x
  3. Step 3: Cross multiply
    649.71x = 969.82 × 563.65
  4. Step 4: Simplify right side
    649.71x = 546,635.21
  5. Step 5: Solve for x
    x = 546,635.21/649.71
  6. Step 6: Final answer
    x = 841.35

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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.