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Finding the Fourth Proportional to 856.23, 1,182.45 and 646.05

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Solution

The fourth proportional to 856.23, 1,182.45 and 646.05 is: 892.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.23 : 1,182.45 = 646.05 : x
  2. Step 2: Convert to fraction form
    856.23/1,182.45 = 646.05/x
  3. Step 3: Cross multiply
    856.23x = 1,182.45 × 646.05
  4. Step 4: Simplify right side
    856.23x = 763,921.82
  5. Step 5: Solve for x
    x = 763,921.82/856.23
  6. Step 6: Final answer
    x = 892.19

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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.