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Finding the Fourth Proportional to 657.11, 986.13 and 291.69

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Solution

The fourth proportional to 657.11, 986.13 and 291.69 is: 437.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    657.11 : 986.13 = 291.69 : x
  2. Step 2: Convert to fraction form
    657.11/986.13 = 291.69/x
  3. Step 3: Cross multiply
    657.11x = 986.13 × 291.69
  4. Step 4: Simplify right side
    657.11x = 287,644.26
  5. Step 5: Solve for x
    x = 287,644.26/657.11
  6. Step 6: Final answer
    x = 437.74

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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.