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Finding the Fourth Proportional to 1,184.87, 1,634.93 and 660.90

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Solution

The fourth proportional to 1,184.87, 1,634.93 and 660.90 is: 911.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184.87 : 1,634.93 = 660.90 : x
  2. Step 2: Convert to fraction form
    1,184.87/1,634.93 = 660.90/x
  3. Step 3: Cross multiply
    1,184.87x = 1,634.93 × 660.90
  4. Step 4: Simplify right side
    1,184.87x = 1,080,521.93
  5. Step 5: Solve for x
    x = 1,080,521.93/1,184.87
  6. Step 6: Final answer
    x = 911.94

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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.