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Finding the Fourth Proportional to 1,696.38, 2,544.54 and 463.92

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Solution

The fourth proportional to 1,696.38, 2,544.54 and 463.92 is: 695.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,696.38 : 2,544.54 = 463.92 : x
  2. Step 2: Convert to fraction form
    1,696.38/2,544.54 = 463.92/x
  3. Step 3: Cross multiply
    1,696.38x = 2,544.54 × 463.92
  4. Step 4: Simplify right side
    1,696.38x = 1,180,463.00
  5. Step 5: Solve for x
    x = 1,180,463.00/1,696.38
  6. Step 6: Final answer
    x = 695.87

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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.