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Finding the Fourth Proportional to 856.12, 1,186.33 and 804.10

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Solution

The fourth proportional to 856.12, 1,186.33 and 804.10 is: 1,114.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.12 : 1,186.33 = 804.10 : x
  2. Step 2: Convert to fraction form
    856.12/1,186.33 = 804.10/x
  3. Step 3: Cross multiply
    856.12x = 1,186.33 × 804.10
  4. Step 4: Simplify right side
    856.12x = 953,922.98
  5. Step 5: Solve for x
    x = 953,922.98/856.12
  6. Step 6: Final answer
    x = 1,114.24

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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.