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Finding the Fourth Proportional to 662.30, 913.57 and 426.17

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Solution

The fourth proportional to 662.30, 913.57 and 426.17 is: 587.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    662.30 : 913.57 = 426.17 : x
  2. Step 2: Convert to fraction form
    662.30/913.57 = 426.17/x
  3. Step 3: Cross multiply
    662.30x = 913.57 × 426.17
  4. Step 4: Simplify right side
    662.30x = 389,334.00
  5. Step 5: Solve for x
    x = 389,334.00/662.30
  6. Step 6: Final answer
    x = 587.85

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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.