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Finding the Fourth Proportional to 805.86, 1,208.18 and 545.12

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Solution

The fourth proportional to 805.86, 1,208.18 and 545.12 is: 817.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.86 : 1,208.18 = 545.12 : x
  2. Step 2: Convert to fraction form
    805.86/1,208.18 = 545.12/x
  3. Step 3: Cross multiply
    805.86x = 1,208.18 × 545.12
  4. Step 4: Simplify right side
    805.86x = 658,603.08
  5. Step 5: Solve for x
    x = 658,603.08/805.86
  6. Step 6: Final answer
    x = 817.27

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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.