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Finding the Fourth Proportional to 650.60, 896.77 and 401.38

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Solution

The fourth proportional to 650.60, 896.77 and 401.38 is: 553.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    650.60 : 896.77 = 401.38 : x
  2. Step 2: Convert to fraction form
    650.60/896.77 = 401.38/x
  3. Step 3: Cross multiply
    650.60x = 896.77 × 401.38
  4. Step 4: Simplify right side
    650.60x = 359,943.80
  5. Step 5: Solve for x
    x = 359,943.80/650.60
  6. Step 6: Final answer
    x = 553.25

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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.