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Finding the Fourth Proportional to 1,192.11, 1,784.87 and 898.73

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Solution

The fourth proportional to 1,192.11, 1,784.87 and 898.73 is: 1,345.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.11 : 1,784.87 = 898.73 : x
  2. Step 2: Convert to fraction form
    1,192.11/1,784.87 = 898.73/x
  3. Step 3: Cross multiply
    1,192.11x = 1,784.87 × 898.73
  4. Step 4: Simplify right side
    1,192.11x = 1,604,105.04
  5. Step 5: Solve for x
    x = 1,604,105.04/1,192.11
  6. Step 6: Final answer
    x = 1,345.60

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1.5x scale

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.