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Finding the Fourth Proportional to 1,144.84, 1,717.52 and 495.76

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Solution

The fourth proportional to 1,144.84, 1,717.52 and 495.76 is: 743.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,144.84 : 1,717.52 = 495.76 : x
  2. Step 2: Convert to fraction form
    1,144.84/1,717.52 = 495.76/x
  3. Step 3: Cross multiply
    1,144.84x = 1,717.52 × 495.76
  4. Step 4: Simplify right side
    1,144.84x = 851,477.72
  5. Step 5: Solve for x
    x = 851,477.72/1,144.84
  6. Step 6: Final answer
    x = 743.75

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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.