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Finding the Fourth Proportional to 1,153.85, 1,592.28 and 681.69

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Solution

The fourth proportional to 1,153.85, 1,592.28 and 681.69 is: 940.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.85 : 1,592.28 = 681.69 : x
  2. Step 2: Convert to fraction form
    1,153.85/1,592.28 = 681.69/x
  3. Step 3: Cross multiply
    1,153.85x = 1,592.28 × 681.69
  4. Step 4: Simplify right side
    1,153.85x = 1,085,441.35
  5. Step 5: Solve for x
    x = 1,085,441.35/1,153.85
  6. Step 6: Final answer
    x = 940.71

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1.5x scale

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.