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Finding the Fourth Proportional to 657.74, 908.08 and 584.84

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Solution

The fourth proportional to 657.74, 908.08 and 584.84 is: 807.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.74 : 908.08 = 584.84 : x
  2. Step 2: Convert to fraction form
    657.74/908.08 = 584.84/x
  3. Step 3: Cross multiply
    657.74x = 908.08 × 584.84
  4. Step 4: Simplify right side
    657.74x = 531,081.51
  5. Step 5: Solve for x
    x = 531,081.51/657.74
  6. Step 6: Final answer
    x = 807.43

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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.