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Finding the Fourth Proportional to 1,169.84, 1,612.98 and 933.05

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Solution

The fourth proportional to 1,169.84, 1,612.98 and 933.05 is: 1,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.84 : 1,612.98 = 933.05 : x
  2. Step 2: Convert to fraction form
    1,169.84/1,612.98 = 933.05/x
  3. Step 3: Cross multiply
    1,169.84x = 1,612.98 × 933.05
  4. Step 4: Simplify right side
    1,169.84x = 1,504,990.99
  5. Step 5: Solve for x
    x = 1,504,990.99/1,169.84
  6. Step 6: Final answer
    x = 1,286.49

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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.