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Finding the Fourth Proportional to 649.34, 969.99 and 584.24

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Solution

The fourth proportional to 649.34, 969.99 and 584.24 is: 872.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.34 : 969.99 = 584.24 : x
  2. Step 2: Convert to fraction form
    649.34/969.99 = 584.24/x
  3. Step 3: Cross multiply
    649.34x = 969.99 × 584.24
  4. Step 4: Simplify right side
    649.34x = 566,699.92
  5. Step 5: Solve for x
    x = 566,699.92/649.34
  6. Step 6: Final answer
    x = 872.73

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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.