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Finding the Fourth Proportional to 659.58, 910.19 and 364.83

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Solution

The fourth proportional to 659.58, 910.19 and 364.83 is: 503.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.58 : 910.19 = 364.83 : x
  2. Step 2: Convert to fraction form
    659.58/910.19 = 364.83/x
  3. Step 3: Cross multiply
    659.58x = 910.19 × 364.83
  4. Step 4: Simplify right side
    659.58x = 332,062.79
  5. Step 5: Solve for x
    x = 332,062.79/659.58
  6. Step 6: Final answer
    x = 503.45

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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.