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Finding the Fourth Proportional to 856.73, 1,182.27 and 525.17

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Solution

The fourth proportional to 856.73, 1,182.27 and 525.17 is: 724.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.73 : 1,182.27 = 525.17 : x
  2. Step 2: Convert to fraction form
    856.73/1,182.27 = 525.17/x
  3. Step 3: Cross multiply
    856.73x = 1,182.27 × 525.17
  4. Step 4: Simplify right side
    856.73x = 620,892.74
  5. Step 5: Solve for x
    x = 620,892.74/856.73
  6. Step 6: Final answer
    x = 724.72

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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.