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Finding the Fourth Proportional to 649.44, 969.14 and 580.23

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Solution

The fourth proportional to 649.44, 969.14 and 580.23 is: 865.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.44 : 969.14 = 580.23 : x
  2. Step 2: Convert to fraction form
    649.44/969.14 = 580.23/x
  3. Step 3: Cross multiply
    649.44x = 969.14 × 580.23
  4. Step 4: Simplify right side
    649.44x = 562,325.55
  5. Step 5: Solve for x
    x = 562,325.55/649.44
  6. Step 6: Final answer
    x = 865.86

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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.