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Finding the Fourth Proportional to 659.46, 909.86 and 397.46

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Solution

The fourth proportional to 659.46, 909.86 and 397.46 is: 548.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.46 : 909.86 = 397.46 : x
  2. Step 2: Convert to fraction form
    659.46/909.86 = 397.46/x
  3. Step 3: Cross multiply
    659.46x = 909.86 × 397.46
  4. Step 4: Simplify right side
    659.46x = 361,632.96
  5. Step 5: Solve for x
    x = 361,632.96/659.46
  6. Step 6: Final answer
    x = 548.38

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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.