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Finding the Fourth Proportional to 657.51, 907.29 and 408.75

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Solution

The fourth proportional to 657.51, 907.29 and 408.75 is: 564.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.51 : 907.29 = 408.75 : x
  2. Step 2: Convert to fraction form
    657.51/907.29 = 408.75/x
  3. Step 3: Cross multiply
    657.51x = 907.29 × 408.75
  4. Step 4: Simplify right side
    657.51x = 370,854.79
  5. Step 5: Solve for x
    x = 370,854.79/657.51
  6. Step 6: Final answer
    x = 564.03

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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.