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Finding the Fourth Proportional to 649.82, 897.06 and 401.35

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Solution

The fourth proportional to 649.82, 897.06 and 401.35 is: 554.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    649.82 : 897.06 = 401.35 : x
  2. Step 2: Convert to fraction form
    649.82/897.06 = 401.35/x
  3. Step 3: Cross multiply
    649.82x = 897.06 × 401.35
  4. Step 4: Simplify right side
    649.82x = 360,035.03
  5. Step 5: Solve for x
    x = 360,035.03/649.82
  6. Step 6: Final answer
    x = 554.05

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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.