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Finding the Fourth Proportional to 657.88, 907.99 and 378.09

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Solution

The fourth proportional to 657.88, 907.99 and 378.09 is: 521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.88 : 907.99 = 378.09 : x
  2. Step 2: Convert to fraction form
    657.88/907.99 = 378.09/x
  3. Step 3: Cross multiply
    657.88x = 907.99 × 378.09
  4. Step 4: Simplify right side
    657.88x = 343,300.99
  5. Step 5: Solve for x
    x = 343,300.99/657.88
  6. Step 6: Final answer
    x = 521.83

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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.