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Finding the Fourth Proportional to 1,289.74, 1,933.80 and 856.39

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Solution

The fourth proportional to 1,289.74, 1,933.80 and 856.39 is: 1,284.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,289.74 : 1,933.80 = 856.39 : x
  2. Step 2: Convert to fraction form
    1,289.74/1,933.80 = 856.39/x
  3. Step 3: Cross multiply
    1,289.74x = 1,933.80 × 856.39
  4. Step 4: Simplify right side
    1,289.74x = 1,656,086.98
  5. Step 5: Solve for x
    x = 1,656,086.98/1,289.74
  6. Step 6: Final answer
    x = 1,284.05

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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.