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Finding the Fourth Proportional to 856.48, 1,182.30 and 577

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Solution

The fourth proportional to 856.48, 1,182.30 and 577 is: 796.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.48 : 1,182.30 = 577 : x
  2. Step 2: Convert to fraction form
    856.48/1,182.30 = 577/x
  3. Step 3: Cross multiply
    856.48x = 1,182.30 × 577
  4. Step 4: Simplify right side
    856.48x = 682,187.10
  5. Step 5: Solve for x
    x = 682,187.10/856.48
  6. Step 6: Final answer
    x = 796.50

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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.