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Finding the Fourth Proportional to 659.29, 910.05 and 438.30

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Solution

The fourth proportional to 659.29, 910.05 and 438.30 is: 605.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.29 : 910.05 = 438.30 : x
  2. Step 2: Convert to fraction form
    659.29/910.05 = 438.30/x
  3. Step 3: Cross multiply
    659.29x = 910.05 × 438.30
  4. Step 4: Simplify right side
    659.29x = 398,874.92
  5. Step 5: Solve for x
    x = 398,874.92/659.29
  6. Step 6: Final answer
    x = 605.01

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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.