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Finding the Fourth Proportional to 657.84, 908.27 and 409.55

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Solution

The fourth proportional to 657.84, 908.27 and 409.55 is: 565.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.84 : 908.27 = 409.55 : x
  2. Step 2: Convert to fraction form
    657.84/908.27 = 409.55/x
  3. Step 3: Cross multiply
    657.84x = 908.27 × 409.55
  4. Step 4: Simplify right side
    657.84x = 371,975.39
  5. Step 5: Solve for x
    x = 371,975.39/657.84
  6. Step 6: Final answer
    x = 565.45

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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.