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Finding the Fourth Proportional to 1,160.35, 1,601.22 and 688.29

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Solution

The fourth proportional to 1,160.35, 1,601.22 and 688.29 is: 949.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160.35 : 1,601.22 = 688.29 : x
  2. Step 2: Convert to fraction form
    1,160.35/1,601.22 = 688.29/x
  3. Step 3: Cross multiply
    1,160.35x = 1,601.22 × 688.29
  4. Step 4: Simplify right side
    1,160.35x = 1,102,103.71
  5. Step 5: Solve for x
    x = 1,102,103.71/1,160.35
  6. Step 6: Final answer
    x = 949.80

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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.