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Finding the Fourth Proportional to 659.66, 910.32 and 379.86

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Solution

The fourth proportional to 659.66, 910.32 and 379.86 is: 524.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.66 : 910.32 = 379.86 : x
  2. Step 2: Convert to fraction form
    659.66/910.32 = 379.86/x
  3. Step 3: Cross multiply
    659.66x = 910.32 × 379.86
  4. Step 4: Simplify right side
    659.66x = 345,794.16
  5. Step 5: Solve for x
    x = 345,794.16/659.66
  6. Step 6: Final answer
    x = 524.20

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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.