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Finding the Fourth Proportional to 651.92, 977.77 and 261.91

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Solution

The fourth proportional to 651.92, 977.77 and 261.91 is: 392.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.92 : 977.77 = 261.91 : x
  2. Step 2: Convert to fraction form
    651.92/977.77 = 261.91/x
  3. Step 3: Cross multiply
    651.92x = 977.77 × 261.91
  4. Step 4: Simplify right side
    651.92x = 256,087.74
  5. Step 5: Solve for x
    x = 256,087.74/651.92
  6. Step 6: Final answer
    x = 392.82

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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.