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Finding the Fourth Proportional to 856.32, 1,189.72 and 846.08

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Solution

The fourth proportional to 856.32, 1,189.72 and 846.08 is: 1,175.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.32 : 1,189.72 = 846.08 : x
  2. Step 2: Convert to fraction form
    856.32/1,189.72 = 846.08/x
  3. Step 3: Cross multiply
    856.32x = 1,189.72 × 846.08
  4. Step 4: Simplify right side
    856.32x = 1,006,598.30
  5. Step 5: Solve for x
    x = 1,006,598.30/856.32
  6. Step 6: Final answer
    x = 1,175.49

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.