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Finding the Fourth Proportional to 651.35, 977.30 and 343.13

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Solution

The fourth proportional to 651.35, 977.30 and 343.13 is: 514.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.35 : 977.30 = 343.13 : x
  2. Step 2: Convert to fraction form
    651.35/977.30 = 343.13/x
  3. Step 3: Cross multiply
    651.35x = 977.30 × 343.13
  4. Step 4: Simplify right side
    651.35x = 335,334.35
  5. Step 5: Solve for x
    x = 335,334.35/651.35
  6. Step 6: Final answer
    x = 514.83

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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.