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Finding the Fourth Proportional to 657.73, 985.64 and 475.51

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Solution

The fourth proportional to 657.73, 985.64 and 475.51 is: 712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.73 : 985.64 = 475.51 : x
  2. Step 2: Convert to fraction form
    657.73/985.64 = 475.51/x
  3. Step 3: Cross multiply
    657.73x = 985.64 × 475.51
  4. Step 4: Simplify right side
    657.73x = 468,679.30
  5. Step 5: Solve for x
    x = 468,679.30/657.73
  6. Step 6: Final answer
    x = 712.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.