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Finding the Fourth Proportional to 651.91, 978.05 and 343.69

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Solution

The fourth proportional to 651.91, 978.05 and 343.69 is: 515.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.91 : 978.05 = 343.69 : x
  2. Step 2: Convert to fraction form
    651.91/978.05 = 343.69/x
  3. Step 3: Cross multiply
    651.91x = 978.05 × 343.69
  4. Step 4: Simplify right side
    651.91x = 336,146.00
  5. Step 5: Solve for x
    x = 336,146.00/651.91
  6. Step 6: Final answer
    x = 515.63

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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.