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Finding the Fourth Proportional to 649.53, 895.30 and 439.64

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Solution

The fourth proportional to 649.53, 895.30 and 439.64 is: 605.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.53 : 895.30 = 439.64 : x
  2. Step 2: Convert to fraction form
    649.53/895.30 = 439.64/x
  3. Step 3: Cross multiply
    649.53x = 895.30 × 439.64
  4. Step 4: Simplify right side
    649.53x = 393,609.69
  5. Step 5: Solve for x
    x = 393,609.69/649.53
  6. Step 6: Final answer
    x = 605.99

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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.