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Finding the Fourth Proportional to 894.68, 1,341.56 and 856.81

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Solution

The fourth proportional to 894.68, 1,341.56 and 856.81 is: 1,284.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    894.68 : 1,341.56 = 856.81 : x
  2. Step 2: Convert to fraction form
    894.68/1,341.56 = 856.81/x
  3. Step 3: Cross multiply
    894.68x = 1,341.56 × 856.81
  4. Step 4: Simplify right side
    894.68x = 1,149,465.84
  5. Step 5: Solve for x
    x = 1,149,465.84/894.68
  6. Step 6: Final answer
    x = 1,284.78

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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.