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Finding the Fourth Proportional to 856.84, 1,278.52 and 804.59

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Solution

The fourth proportional to 856.84, 1,278.52 and 804.59 is: 1,200.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    856.84 : 1,278.52 = 804.59 : x
  2. Step 2: Convert to fraction form
    856.84/1,278.52 = 804.59/x
  3. Step 3: Cross multiply
    856.84x = 1,278.52 × 804.59
  4. Step 4: Simplify right side
    856.84x = 1,028,684.41
  5. Step 5: Solve for x
    x = 1,028,684.41/856.84
  6. Step 6: Final answer
    x = 1,200.56

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.