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Finding the Fourth Proportional to 805.67, 1,206.21 and 630.71

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Solution

The fourth proportional to 805.67, 1,206.21 and 630.71 is: 944.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.67 : 1,206.21 = 630.71 : x
  2. Step 2: Convert to fraction form
    805.67/1,206.21 = 630.71/x
  3. Step 3: Cross multiply
    805.67x = 1,206.21 × 630.71
  4. Step 4: Simplify right side
    805.67x = 760,762.68
  5. Step 5: Solve for x
    x = 760,762.68/805.67
  6. Step 6: Final answer
    x = 944.27

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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.