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Finding the Fourth Proportional to 805.77, 1,206.92 and 342.95

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Solution

The fourth proportional to 805.77, 1,206.92 and 342.95 is: 513.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.77 : 1,206.92 = 342.95 : x
  2. Step 2: Convert to fraction form
    805.77/1,206.92 = 342.95/x
  3. Step 3: Cross multiply
    805.77x = 1,206.92 × 342.95
  4. Step 4: Simplify right side
    805.77x = 413,905.46
  5. Step 5: Solve for x
    x = 413,905.46/805.77
  6. Step 6: Final answer
    x = 513.68

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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.