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Finding the Fourth Proportional to 649.57, 969.47 and 594.49

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Solution

The fourth proportional to 649.57, 969.47 and 594.49 is: 887.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.57 : 969.47 = 594.49 : x
  2. Step 2: Convert to fraction form
    649.57/969.47 = 594.49/x
  3. Step 3: Cross multiply
    649.57x = 969.47 × 594.49
  4. Step 4: Simplify right side
    649.57x = 576,340.22
  5. Step 5: Solve for x
    x = 576,340.22/649.57
  6. Step 6: Final answer
    x = 887.26

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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.