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Finding the Fourth Proportional to 649.40, 969.32 and 558.68

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Solution

The fourth proportional to 649.40, 969.32 and 558.68 is: 833.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.40 : 969.32 = 558.68 : x
  2. Step 2: Convert to fraction form
    649.40/969.32 = 558.68/x
  3. Step 3: Cross multiply
    649.40x = 969.32 × 558.68
  4. Step 4: Simplify right side
    649.40x = 541,539.70
  5. Step 5: Solve for x
    x = 541,539.70/649.40
  6. Step 6: Final answer
    x = 833.91

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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.