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Finding the Fourth Proportional to 1,153.46, 1,591.76 and 681.64

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Solution

The fourth proportional to 1,153.46, 1,591.76 and 681.64 is: 940.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.46 : 1,591.76 = 681.64 : x
  2. Step 2: Convert to fraction form
    1,153.46/1,591.76 = 681.64/x
  3. Step 3: Cross multiply
    1,153.46x = 1,591.76 × 681.64
  4. Step 4: Simplify right side
    1,153.46x = 1,085,007.29
  5. Step 5: Solve for x
    x = 1,085,007.29/1,153.46
  6. Step 6: Final answer
    x = 940.65

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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.