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Finding the Fourth Proportional to 651.19, 977.07 and 342.97

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Solution

The fourth proportional to 651.19, 977.07 and 342.97 is: 514.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.19 : 977.07 = 342.97 : x
  2. Step 2: Convert to fraction form
    651.19/977.07 = 342.97/x
  3. Step 3: Cross multiply
    651.19x = 977.07 × 342.97
  4. Step 4: Simplify right side
    651.19x = 335,105.70
  5. Step 5: Solve for x
    x = 335,105.70/651.19
  6. Step 6: Final answer
    x = 514.61

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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.