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Finding the Fourth Proportional to 657.20, 907.06 and 408.62

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Solution

The fourth proportional to 657.20, 907.06 and 408.62 is: 563.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.20 : 907.06 = 408.62 : x
  2. Step 2: Convert to fraction form
    657.20/907.06 = 408.62/x
  3. Step 3: Cross multiply
    657.20x = 907.06 × 408.62
  4. Step 4: Simplify right side
    657.20x = 370,642.86
  5. Step 5: Solve for x
    x = 370,642.86/657.20
  6. Step 6: Final answer
    x = 563.97

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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.