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Finding the Fourth Proportional to 855.73, 1,181.15 and 545.77

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Solution

The fourth proportional to 855.73, 1,181.15 and 545.77 is: 753.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.73 : 1,181.15 = 545.77 : x
  2. Step 2: Convert to fraction form
    855.73/1,181.15 = 545.77/x
  3. Step 3: Cross multiply
    855.73x = 1,181.15 × 545.77
  4. Step 4: Simplify right side
    855.73x = 644,636.24
  5. Step 5: Solve for x
    x = 644,636.24/855.73
  6. Step 6: Final answer
    x = 753.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.