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Finding the Fourth Proportional to 649.06, 896.06 and 428.38

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Solution

The fourth proportional to 649.06, 896.06 and 428.38 is: 591.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.06 : 896.06 = 428.38 : x
  2. Step 2: Convert to fraction form
    649.06/896.06 = 428.38/x
  3. Step 3: Cross multiply
    649.06x = 896.06 × 428.38
  4. Step 4: Simplify right side
    649.06x = 383,854.18
  5. Step 5: Solve for x
    x = 383,854.18/649.06
  6. Step 6: Final answer
    x = 591.40

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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.