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Finding the Fourth Proportional to 1,198.01, 1,653.12 and 666.85

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Solution

The fourth proportional to 1,198.01, 1,653.12 and 666.85 is: 920.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198.01 : 1,653.12 = 666.85 : x
  2. Step 2: Convert to fraction form
    1,198.01/1,653.12 = 666.85/x
  3. Step 3: Cross multiply
    1,198.01x = 1,653.12 × 666.85
  4. Step 4: Simplify right side
    1,198.01x = 1,102,378.94
  5. Step 5: Solve for x
    x = 1,102,378.94/1,198.01
  6. Step 6: Final answer
    x = 920.18

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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.