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Finding the Fourth Proportional to 649.22, 895.78 and 387.19

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Solution

The fourth proportional to 649.22, 895.78 and 387.19 is: 534.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.22 : 895.78 = 387.19 : x
  2. Step 2: Convert to fraction form
    649.22/895.78 = 387.19/x
  3. Step 3: Cross multiply
    649.22x = 895.78 × 387.19
  4. Step 4: Simplify right side
    649.22x = 346,835.30
  5. Step 5: Solve for x
    x = 346,835.30/649.22
  6. Step 6: Final answer
    x = 534.23

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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.