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Finding the Fourth Proportional to 657.32, 989.88 and 475.98

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Solution

The fourth proportional to 657.32, 989.88 and 475.98 is: 716.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.32 : 989.88 = 475.98 : x
  2. Step 2: Convert to fraction form
    657.32/989.88 = 475.98/x
  3. Step 3: Cross multiply
    657.32x = 989.88 × 475.98
  4. Step 4: Simplify right side
    657.32x = 471,163.08
  5. Step 5: Solve for x
    x = 471,163.08/657.32
  6. Step 6: Final answer
    x = 716.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.