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Finding the Fourth Proportional to 1,153.96, 1,592.40 and 681.75

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Solution

The fourth proportional to 1,153.96, 1,592.40 and 681.75 is: 940.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.96 : 1,592.40 = 681.75 : x
  2. Step 2: Convert to fraction form
    1,153.96/1,592.40 = 681.75/x
  3. Step 3: Cross multiply
    1,153.96x = 1,592.40 × 681.75
  4. Step 4: Simplify right side
    1,153.96x = 1,085,617.42
  5. Step 5: Solve for x
    x = 1,085,617.42/1,153.96
  6. Step 6: Final answer
    x = 940.77

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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.