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Finding the Fourth Proportional to 657.30, 907.17 and 408.90

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Solution

The fourth proportional to 657.30, 907.17 and 408.90 is: 564.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.30 : 907.17 = 408.90 : x
  2. Step 2: Convert to fraction form
    657.30/907.17 = 408.90/x
  3. Step 3: Cross multiply
    657.30x = 907.17 × 408.90
  4. Step 4: Simplify right side
    657.30x = 370,941.81
  5. Step 5: Solve for x
    x = 370,941.81/657.30
  6. Step 6: Final answer
    x = 564.34

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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.