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Finding the Fourth Proportional to 659.54, 910.31 and 364.91

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Solution

The fourth proportional to 659.54, 910.31 and 364.91 is: 503.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.54 : 910.31 = 364.91 : x
  2. Step 2: Convert to fraction form
    659.54/910.31 = 364.91/x
  3. Step 3: Cross multiply
    659.54x = 910.31 × 364.91
  4. Step 4: Simplify right side
    659.54x = 332,174.85
  5. Step 5: Solve for x
    x = 332,174.85/659.54
  6. Step 6: Final answer
    x = 503.64

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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.