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Finding the Fourth Proportional to 1,182.13, 1,770.56 and 856.75

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Solution

The fourth proportional to 1,182.13, 1,770.56 and 856.75 is: 1,283.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182.13 : 1,770.56 = 856.75 : x
  2. Step 2: Convert to fraction form
    1,182.13/1,770.56 = 856.75/x
  3. Step 3: Cross multiply
    1,182.13x = 1,770.56 × 856.75
  4. Step 4: Simplify right side
    1,182.13x = 1,516,923.00
  5. Step 5: Solve for x
    x = 1,516,923.00/1,182.13
  6. Step 6: Final answer
    x = 1,283.21

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.