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Finding the Fourth Proportional to 806.48, 1,207.66 and 531.74

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Solution

The fourth proportional to 806.48, 1,207.66 and 531.74 is: 796.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    806.48 : 1,207.66 = 531.74 : x
  2. Step 2: Convert to fraction form
    806.48/1,207.66 = 531.74/x
  3. Step 3: Cross multiply
    806.48x = 1,207.66 × 531.74
  4. Step 4: Simplify right side
    806.48x = 642,161.13
  5. Step 5: Solve for x
    x = 642,161.13/806.48
  6. Step 6: Final answer
    x = 796.25

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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.