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Finding the Fourth Proportional to 856.61, 1,181.99 and 478.49

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Solution

The fourth proportional to 856.61, 1,181.99 and 478.49 is: 660.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.61 : 1,181.99 = 478.49 : x
  2. Step 2: Convert to fraction form
    856.61/1,181.99 = 478.49/x
  3. Step 3: Cross multiply
    856.61x = 1,181.99 × 478.49
  4. Step 4: Simplify right side
    856.61x = 565,568.00
  5. Step 5: Solve for x
    x = 565,568.00/856.61
  6. Step 6: Final answer
    x = 660.24

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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.