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Finding the Fourth Proportional to 662.20, 913.68 and 400.21

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Solution

The fourth proportional to 662.20, 913.68 and 400.21 is: 552.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.20 : 913.68 = 400.21 : x
  2. Step 2: Convert to fraction form
    662.20/913.68 = 400.21/x
  3. Step 3: Cross multiply
    662.20x = 913.68 × 400.21
  4. Step 4: Simplify right side
    662.20x = 365,661.59
  5. Step 5: Solve for x
    x = 365,661.59/662.20
  6. Step 6: Final answer
    x = 552.19

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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.