Home / 649.11-895.46-428.14

Finding the Fourth Proportional to 649.11, 895.46 and 428.14

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Solution

The fourth proportional to 649.11, 895.46 and 428.14 is: 590.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.11 : 895.46 = 428.14 : x
  2. Step 2: Convert to fraction form
    649.11/895.46 = 428.14/x
  3. Step 3: Cross multiply
    649.11x = 895.46 × 428.14
  4. Step 4: Simplify right side
    649.11x = 383,376.19
  5. Step 5: Solve for x
    x = 383,376.19/649.11
  6. Step 6: Final answer
    x = 590.61

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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.