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Finding the Fourth Proportional to 657.70, 907.64 and 362.97

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Solution

The fourth proportional to 657.70, 907.64 and 362.97 is: 500.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.70 : 907.64 = 362.97 : x
  2. Step 2: Convert to fraction form
    657.70/907.64 = 362.97/x
  3. Step 3: Cross multiply
    657.70x = 907.64 × 362.97
  4. Step 4: Simplify right side
    657.70x = 329,446.09
  5. Step 5: Solve for x
    x = 329,446.09/657.70
  6. Step 6: Final answer
    x = 500.91

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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.