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Finding the Fourth Proportional to 657.89, 907.82 and 405.78

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Solution

The fourth proportional to 657.89, 907.82 and 405.78 is: 559.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.89 : 907.82 = 405.78 : x
  2. Step 2: Convert to fraction form
    657.89/907.82 = 405.78/x
  3. Step 3: Cross multiply
    657.89x = 907.82 × 405.78
  4. Step 4: Simplify right side
    657.89x = 368,375.20
  5. Step 5: Solve for x
    x = 368,375.20/657.89
  6. Step 6: Final answer
    x = 559.93

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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.