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Finding the Fourth Proportional to 649.10, 895.74 and 387.12

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Solution

The fourth proportional to 649.10, 895.74 and 387.12 is: 534.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.10 : 895.74 = 387.12 : x
  2. Step 2: Convert to fraction form
    649.10/895.74 = 387.12/x
  3. Step 3: Cross multiply
    649.10x = 895.74 × 387.12
  4. Step 4: Simplify right side
    649.10x = 346,758.87
  5. Step 5: Solve for x
    x = 346,758.87/649.10
  6. Step 6: Final answer
    x = 534.21

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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.