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Finding the Fourth Proportional to 649.71, 895.98 and 428.44

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Solution

The fourth proportional to 649.71, 895.98 and 428.44 is: 590.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.71 : 895.98 = 428.44 : x
  2. Step 2: Convert to fraction form
    649.71/895.98 = 428.44/x
  3. Step 3: Cross multiply
    649.71x = 895.98 × 428.44
  4. Step 4: Simplify right side
    649.71x = 383,873.67
  5. Step 5: Solve for x
    x = 383,873.67/649.71
  6. Step 6: Final answer
    x = 590.84

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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.