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Finding the Fourth Proportional to 661.69, 991.40 and 353.69

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Solution

The fourth proportional to 661.69, 991.40 and 353.69 is: 529.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.69 : 991.40 = 353.69 : x
  2. Step 2: Convert to fraction form
    661.69/991.40 = 353.69/x
  3. Step 3: Cross multiply
    661.69x = 991.40 × 353.69
  4. Step 4: Simplify right side
    661.69x = 350,648.27
  5. Step 5: Solve for x
    x = 350,648.27/661.69
  6. Step 6: Final answer
    x = 529.93

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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.