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Finding the Fourth Proportional to 659.35, 909.87 and 397.51

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Solution

The fourth proportional to 659.35, 909.87 and 397.51 is: 548.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.35 : 909.87 = 397.51 : x
  2. Step 2: Convert to fraction form
    659.35/909.87 = 397.51/x
  3. Step 3: Cross multiply
    659.35x = 909.87 × 397.51
  4. Step 4: Simplify right side
    659.35x = 361,682.42
  5. Step 5: Solve for x
    x = 361,682.42/659.35
  6. Step 6: Final answer
    x = 548.54

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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.