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Finding the Fourth Proportional to 659.16, 909.73 and 397.13

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Solution

The fourth proportional to 659.16, 909.73 and 397.13 is: 548.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.16 : 909.73 = 397.13 : x
  2. Step 2: Convert to fraction form
    659.16/909.73 = 397.13/x
  3. Step 3: Cross multiply
    659.16x = 909.73 × 397.13
  4. Step 4: Simplify right side
    659.16x = 361,277.02
  5. Step 5: Solve for x
    x = 361,277.02/659.16
  6. Step 6: Final answer
    x = 548.09

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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.