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Finding the Fourth Proportional to 856.28, 1,181.45 and 657.32

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Solution

The fourth proportional to 856.28, 1,181.45 and 657.32 is: 906.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.28 : 1,181.45 = 657.32 : x
  2. Step 2: Convert to fraction form
    856.28/1,181.45 = 657.32/x
  3. Step 3: Cross multiply
    856.28x = 1,181.45 × 657.32
  4. Step 4: Simplify right side
    856.28x = 776,586.45
  5. Step 5: Solve for x
    x = 776,586.45/856.28
  6. Step 6: Final answer
    x = 906.93

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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.