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Finding the Fourth Proportional to 856.44, 1,182.08 and 545.76

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Solution

The fourth proportional to 856.44, 1,182.08 and 545.76 is: 753.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.44 : 1,182.08 = 545.76 : x
  2. Step 2: Convert to fraction form
    856.44/1,182.08 = 545.76/x
  3. Step 3: Cross multiply
    856.44x = 1,182.08 × 545.76
  4. Step 4: Simplify right side
    856.44x = 645,131.98
  5. Step 5: Solve for x
    x = 645,131.98/856.44
  6. Step 6: Final answer
    x = 753.27

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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.