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Finding the Fourth Proportional to 854.40, 1,178.10 and 696.86

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Solution

The fourth proportional to 854.40, 1,178.10 and 696.86 is: 960.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.40 : 1,178.10 = 696.86 : x
  2. Step 2: Convert to fraction form
    854.40/1,178.10 = 696.86/x
  3. Step 3: Cross multiply
    854.40x = 1,178.10 × 696.86
  4. Step 4: Simplify right side
    854.40x = 820,970.77
  5. Step 5: Solve for x
    x = 820,970.77/854.40
  6. Step 6: Final answer
    x = 960.87

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1.5x scale

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.