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Finding the Fourth Proportional to 649.98, 969.94 and 580.75

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Solution

The fourth proportional to 649.98, 969.94 and 580.75 is: 866.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.98 : 969.94 = 580.75 : x
  2. Step 2: Convert to fraction form
    649.98/969.94 = 580.75/x
  3. Step 3: Cross multiply
    649.98x = 969.94 × 580.75
  4. Step 4: Simplify right side
    649.98x = 563,292.66
  5. Step 5: Solve for x
    x = 563,292.66/649.98
  6. Step 6: Final answer
    x = 866.63

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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.