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Finding the Fourth Proportional to 1,354.29, 1,869 and 856.89

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Solution

The fourth proportional to 1,354.29, 1,869 and 856.89 is: 1,182.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.29 : 1,869 = 856.89 : x
  2. Step 2: Convert to fraction form
    1,354.29/1,869 = 856.89/x
  3. Step 3: Cross multiply
    1,354.29x = 1,869 × 856.89
  4. Step 4: Simplify right side
    1,354.29x = 1,601,527.41
  5. Step 5: Solve for x
    x = 1,601,527.41/1,354.29
  6. Step 6: Final answer
    x = 1,182.56

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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.