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Finding the Fourth Proportional to 856.74, 1,182.31 and 483.72

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Solution

The fourth proportional to 856.74, 1,182.31 and 483.72 is: 667.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.74 : 1,182.31 = 483.72 : x
  2. Step 2: Convert to fraction form
    856.74/1,182.31 = 483.72/x
  3. Step 3: Cross multiply
    856.74x = 1,182.31 × 483.72
  4. Step 4: Simplify right side
    856.74x = 571,906.99
  5. Step 5: Solve for x
    x = 571,906.99/856.74
  6. Step 6: Final answer
    x = 667.54

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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.