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Finding the Fourth Proportional to 856.73, 1,182.51 and 525.29

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Solution

The fourth proportional to 856.73, 1,182.51 and 525.29 is: 725.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.73 : 1,182.51 = 525.29 : x
  2. Step 2: Convert to fraction form
    856.73/1,182.51 = 525.29/x
  3. Step 3: Cross multiply
    856.73x = 1,182.51 × 525.29
  4. Step 4: Simplify right side
    856.73x = 621,154.77
  5. Step 5: Solve for x
    x = 621,154.77/856.73
  6. Step 6: Final answer
    x = 725.03

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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.