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Finding the Fourth Proportional to 659.71, 991.01 and 403.39

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Solution

The fourth proportional to 659.71, 991.01 and 403.39 is: 605.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.71 : 991.01 = 403.39 : x
  2. Step 2: Convert to fraction form
    659.71/991.01 = 403.39/x
  3. Step 3: Cross multiply
    659.71x = 991.01 × 403.39
  4. Step 4: Simplify right side
    659.71x = 399,761.51
  5. Step 5: Solve for x
    x = 399,761.51/659.71
  6. Step 6: Final answer
    x = 605.97

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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.