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Finding the Fourth Proportional to 659.20, 910.42 and 439.16

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Solution

The fourth proportional to 659.20, 910.42 and 439.16 is: 606.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.20 : 910.42 = 439.16 : x
  2. Step 2: Convert to fraction form
    659.20/910.42 = 439.16/x
  3. Step 3: Cross multiply
    659.20x = 910.42 × 439.16
  4. Step 4: Simplify right side
    659.20x = 399,820.05
  5. Step 5: Solve for x
    x = 399,820.05/659.20
  6. Step 6: Final answer
    x = 606.52

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.