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Finding the Fourth Proportional to 657.44, 908.03 and 436

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Solution

The fourth proportional to 657.44, 908.03 and 436 is: 602.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.44 : 908.03 = 436 : x
  2. Step 2: Convert to fraction form
    657.44/908.03 = 436/x
  3. Step 3: Cross multiply
    657.44x = 908.03 × 436
  4. Step 4: Simplify right side
    657.44x = 395,901.08
  5. Step 5: Solve for x
    x = 395,901.08/657.44
  6. Step 6: Final answer
    x = 602.19

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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.