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Finding the Fourth Proportional to 657.03, 906.62 and 377.23

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Solution

The fourth proportional to 657.03, 906.62 and 377.23 is: 520.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.03 : 906.62 = 377.23 : x
  2. Step 2: Convert to fraction form
    657.03/906.62 = 377.23/x
  3. Step 3: Cross multiply
    657.03x = 906.62 × 377.23
  4. Step 4: Simplify right side
    657.03x = 342,004.26
  5. Step 5: Solve for x
    x = 342,004.26/657.03
  6. Step 6: Final answer
    x = 520.53

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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.