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Finding the Fourth Proportional to 856, 1,181.28 and 545.50

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Solution

The fourth proportional to 856, 1,181.28 and 545.50 is: 752.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    856 : 1,181.28 = 545.50 : x
  2. Step 2: Convert to fraction form
    856/1,181.28 = 545.50/x
  3. Step 3: Cross multiply
    856x = 1,181.28 × 545.50
  4. Step 4: Simplify right side
    856x = 644,388.24
  5. Step 5: Solve for x
    x = 644,388.24/856
  6. Step 6: Final answer
    x = 752.79

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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.