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Finding the Fourth Proportional to 649.18, 895.48 and 428.05

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Solution

The fourth proportional to 649.18, 895.48 and 428.05 is: 590.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.18 : 895.48 = 428.05 : x
  2. Step 2: Convert to fraction form
    649.18/895.48 = 428.05/x
  3. Step 3: Cross multiply
    649.18x = 895.48 × 428.05
  4. Step 4: Simplify right side
    649.18x = 383,310.21
  5. Step 5: Solve for x
    x = 383,310.21/649.18
  6. Step 6: Final answer
    x = 590.45

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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.