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Finding the Fourth Proportional to 805.91, 1,207.95 and 561.69

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Solution

The fourth proportional to 805.91, 1,207.95 and 561.69 is: 841.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.91 : 1,207.95 = 561.69 : x
  2. Step 2: Convert to fraction form
    805.91/1,207.95 = 561.69/x
  3. Step 3: Cross multiply
    805.91x = 1,207.95 × 561.69
  4. Step 4: Simplify right side
    805.91x = 678,493.44
  5. Step 5: Solve for x
    x = 678,493.44/805.91
  6. Step 6: Final answer
    x = 841.90

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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.