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Finding the Fourth Proportional to 649.27, 895.89 and 427.87

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Solution

The fourth proportional to 649.27, 895.89 and 427.87 is: 590.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.27 : 895.89 = 427.87 : x
  2. Step 2: Convert to fraction form
    649.27/895.89 = 427.87/x
  3. Step 3: Cross multiply
    649.27x = 895.89 × 427.87
  4. Step 4: Simplify right side
    649.27x = 383,324.45
  5. Step 5: Solve for x
    x = 383,324.45/649.27
  6. Step 6: Final answer
    x = 590.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.