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Finding the Fourth Proportional to 659.56, 910.30 and 397.66

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Solution

The fourth proportional to 659.56, 910.30 and 397.66 is: 548.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.56 : 910.30 = 397.66 : x
  2. Step 2: Convert to fraction form
    659.56/910.30 = 397.66/x
  3. Step 3: Cross multiply
    659.56x = 910.30 × 397.66
  4. Step 4: Simplify right side
    659.56x = 361,989.90
  5. Step 5: Solve for x
    x = 361,989.90/659.56
  6. Step 6: Final answer
    x = 548.84

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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.