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Finding the Fourth Proportional to 659.68, 910.38 and 452.68

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Solution

The fourth proportional to 659.68, 910.38 and 452.68 is: 624.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.68 : 910.38 = 452.68 : x
  2. Step 2: Convert to fraction form
    659.68/910.38 = 452.68/x
  3. Step 3: Cross multiply
    659.68x = 910.38 × 452.68
  4. Step 4: Simplify right side
    659.68x = 412,110.82
  5. Step 5: Solve for x
    x = 412,110.82/659.68
  6. Step 6: Final answer
    x = 624.71

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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.