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Finding the Fourth Proportional to 659.24, 909.14 and 422.92

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Solution

The fourth proportional to 659.24, 909.14 and 422.92 is: 583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.24 : 909.14 = 422.92 : x
  2. Step 2: Convert to fraction form
    659.24/909.14 = 422.92/x
  3. Step 3: Cross multiply
    659.24x = 909.14 × 422.92
  4. Step 4: Simplify right side
    659.24x = 384,493.49
  5. Step 5: Solve for x
    x = 384,493.49/659.24
  6. Step 6: Final answer
    x = 583.24

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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.