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Finding the Fourth Proportional to 657.70, 907.67 and 378.03

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Solution

The fourth proportional to 657.70, 907.67 and 378.03 is: 521.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.70 : 907.67 = 378.03 : x
  2. Step 2: Convert to fraction form
    657.70/907.67 = 378.03/x
  3. Step 3: Cross multiply
    657.70x = 907.67 × 378.03
  4. Step 4: Simplify right side
    657.70x = 343,126.49
  5. Step 5: Solve for x
    x = 343,126.49/657.70
  6. Step 6: Final answer
    x = 521.71

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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.