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Finding the Fourth Proportional to 856.83, 1,182.31 and 502.49

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Solution

The fourth proportional to 856.83, 1,182.31 and 502.49 is: 693.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.83 : 1,182.31 = 502.49 : x
  2. Step 2: Convert to fraction form
    856.83/1,182.31 = 502.49/x
  3. Step 3: Cross multiply
    856.83x = 1,182.31 × 502.49
  4. Step 4: Simplify right side
    856.83x = 594,093.67
  5. Step 5: Solve for x
    x = 594,093.67/856.83
  6. Step 6: Final answer
    x = 693.37

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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.