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Finding the Fourth Proportional to 659.36, 909.91 and 360.61

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Solution

The fourth proportional to 659.36, 909.91 and 360.61 is: 497.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.36 : 909.91 = 360.61 : x
  2. Step 2: Convert to fraction form
    659.36/909.91 = 360.61/x
  3. Step 3: Cross multiply
    659.36x = 909.91 × 360.61
  4. Step 4: Simplify right side
    659.36x = 328,122.65
  5. Step 5: Solve for x
    x = 328,122.65/659.36
  6. Step 6: Final answer
    x = 497.64

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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.