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Finding the Fourth Proportional to 659.35, 909.99 and 397.31

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Solution

The fourth proportional to 659.35, 909.99 and 397.31 is: 548.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.35 : 909.99 = 397.31 : x
  2. Step 2: Convert to fraction form
    659.35/909.99 = 397.31/x
  3. Step 3: Cross multiply
    659.35x = 909.99 × 397.31
  4. Step 4: Simplify right side
    659.35x = 361,550.40
  5. Step 5: Solve for x
    x = 361,550.40/659.35
  6. Step 6: Final answer
    x = 548.35

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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.