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Finding the Fourth Proportional to 651.18, 977.17 and 343.25

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Solution

The fourth proportional to 651.18, 977.17 and 343.25 is: 515.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.18 : 977.17 = 343.25 : x
  2. Step 2: Convert to fraction form
    651.18/977.17 = 343.25/x
  3. Step 3: Cross multiply
    651.18x = 977.17 × 343.25
  4. Step 4: Simplify right side
    651.18x = 335,415.19
  5. Step 5: Solve for x
    x = 335,415.19/651.18
  6. Step 6: Final answer
    x = 515.09

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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.