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Finding the Fourth Proportional to 657.78, 907.75 and 363.05

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Solution

The fourth proportional to 657.78, 907.75 and 363.05 is: 501.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.78 : 907.75 = 363.05 : x
  2. Step 2: Convert to fraction form
    657.78/907.75 = 363.05/x
  3. Step 3: Cross multiply
    657.78x = 907.75 × 363.05
  4. Step 4: Simplify right side
    657.78x = 329,558.64
  5. Step 5: Solve for x
    x = 329,558.64/657.78
  6. Step 6: Final answer
    x = 501.02

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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.