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Finding the Fourth Proportional to 856.31, 1,181.78 and 524.94

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Solution

The fourth proportional to 856.31, 1,181.78 and 524.94 is: 724.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.31 : 1,181.78 = 524.94 : x
  2. Step 2: Convert to fraction form
    856.31/1,181.78 = 524.94/x
  3. Step 3: Cross multiply
    856.31x = 1,181.78 × 524.94
  4. Step 4: Simplify right side
    856.31x = 620,363.59
  5. Step 5: Solve for x
    x = 620,363.59/856.31
  6. Step 6: Final answer
    x = 724.46

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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.