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Finding the Fourth Proportional to 856.22, 1,181.12 and 657.59

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Solution

The fourth proportional to 856.22, 1,181.12 and 657.59 is: 907.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.22 : 1,181.12 = 657.59 : x
  2. Step 2: Convert to fraction form
    856.22/1,181.12 = 657.59/x
  3. Step 3: Cross multiply
    856.22x = 1,181.12 × 657.59
  4. Step 4: Simplify right side
    856.22x = 776,683.51
  5. Step 5: Solve for x
    x = 776,683.51/856.22
  6. Step 6: Final answer
    x = 907.11

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1.5x scale

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.