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Finding the Fourth Proportional to 649.59, 969.63 and 563.52

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Solution

The fourth proportional to 649.59, 969.63 and 563.52 is: 841.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.59 : 969.63 = 563.52 : x
  2. Step 2: Convert to fraction form
    649.59/969.63 = 563.52/x
  3. Step 3: Cross multiply
    649.59x = 969.63 × 563.52
  4. Step 4: Simplify right side
    649.59x = 546,405.90
  5. Step 5: Solve for x
    x = 546,405.90/649.59
  6. Step 6: Final answer
    x = 841.16

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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.