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Finding the Fourth Proportional to 657.83, 907.87 and 378.11

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Solution

The fourth proportional to 657.83, 907.87 and 378.11 is: 521.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.83 : 907.87 = 378.11 : x
  2. Step 2: Convert to fraction form
    657.83/907.87 = 378.11/x
  3. Step 3: Cross multiply
    657.83x = 907.87 × 378.11
  4. Step 4: Simplify right side
    657.83x = 343,274.73
  5. Step 5: Solve for x
    x = 343,274.73/657.83
  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.