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Finding the Fourth Proportional to 661.76, 991.93 and 337.15

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Solution

The fourth proportional to 661.76, 991.93 and 337.15 is: 505.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.76 : 991.93 = 337.15 : x
  2. Step 2: Convert to fraction form
    661.76/991.93 = 337.15/x
  3. Step 3: Cross multiply
    661.76x = 991.93 × 337.15
  4. Step 4: Simplify right side
    661.76x = 334,429.20
  5. Step 5: Solve for x
    x = 334,429.20/661.76
  6. Step 6: Final answer
    x = 505.36

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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.