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Finding the Fourth Proportional to 856.83, 1,182.43 and 478.74

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Solution

The fourth proportional to 856.83, 1,182.43 and 478.74 is: 660.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.83 : 1,182.43 = 478.74 : x
  2. Step 2: Convert to fraction form
    856.83/1,182.43 = 478.74/x
  3. Step 3: Cross multiply
    856.83x = 1,182.43 × 478.74
  4. Step 4: Simplify right side
    856.83x = 566,076.54
  5. Step 5: Solve for x
    x = 566,076.54/856.83
  6. Step 6: Final answer
    x = 660.66

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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.