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Finding the Fourth Proportional to 649.33, 895.66 and 428.56

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Solution

The fourth proportional to 649.33, 895.66 and 428.56 is: 591.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.33 : 895.66 = 428.56 : x
  2. Step 2: Convert to fraction form
    649.33/895.66 = 428.56/x
  3. Step 3: Cross multiply
    649.33x = 895.66 × 428.56
  4. Step 4: Simplify right side
    649.33x = 383,844.05
  5. Step 5: Solve for x
    x = 383,844.05/649.33
  6. Step 6: Final answer
    x = 591.14

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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.