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Finding the Fourth Proportional to 1,160.71, 1,601.76 and 629.58

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Solution

The fourth proportional to 1,160.71, 1,601.76 and 629.58 is: 868.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.71 : 1,601.76 = 629.58 : x
  2. Step 2: Convert to fraction form
    1,160.71/1,601.76 = 629.58/x
  3. Step 3: Cross multiply
    1,160.71x = 1,601.76 × 629.58
  4. Step 4: Simplify right side
    1,160.71x = 1,008,424.90
  5. Step 5: Solve for x
    x = 1,008,424.90/1,160.71
  6. Step 6: Final answer
    x = 868.80

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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.