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Finding the Fourth Proportional to 657.88, 907.84 and 363.13

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Solution

The fourth proportional to 657.88, 907.84 and 363.13 is: 501.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.88 : 907.84 = 363.13 : x
  2. Step 2: Convert to fraction form
    657.88/907.84 = 363.13/x
  3. Step 3: Cross multiply
    657.88x = 907.84 × 363.13
  4. Step 4: Simplify right side
    657.88x = 329,663.94
  5. Step 5: Solve for x
    x = 329,663.94/657.88
  6. Step 6: Final answer
    x = 501.10

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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.