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Finding the Fourth Proportional to 853.83, 1,173.17 and 678.87

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Solution

The fourth proportional to 853.83, 1,173.17 and 678.87 is: 932.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.83 : 1,173.17 = 678.87 : x
  2. Step 2: Convert to fraction form
    853.83/1,173.17 = 678.87/x
  3. Step 3: Cross multiply
    853.83x = 1,173.17 × 678.87
  4. Step 4: Simplify right side
    853.83x = 796,426.52
  5. Step 5: Solve for x
    x = 796,426.52/853.83
  6. Step 6: Final answer
    x = 932.77

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.