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Finding the Fourth Proportional to 856.26, 1,182.35 and 816.87

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Solution

The fourth proportional to 856.26, 1,182.35 and 816.87 is: 1,127.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.26 : 1,182.35 = 816.87 : x
  2. Step 2: Convert to fraction form
    856.26/1,182.35 = 816.87/x
  3. Step 3: Cross multiply
    856.26x = 1,182.35 × 816.87
  4. Step 4: Simplify right side
    856.26x = 965,822.16
  5. Step 5: Solve for x
    x = 965,822.16/856.26
  6. Step 6: Final answer
    x = 1,127.95

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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.