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Finding the Fourth Proportional to 1,153.44, 1,728.54 and 981.72

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Solution

The fourth proportional to 1,153.44, 1,728.54 and 981.72 is: 1,471.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153.44 : 1,728.54 = 981.72 : x
  2. Step 2: Convert to fraction form
    1,153.44/1,728.54 = 981.72/x
  3. Step 3: Cross multiply
    1,153.44x = 1,728.54 × 981.72
  4. Step 4: Simplify right side
    1,153.44x = 1,696,942.29
  5. Step 5: Solve for x
    x = 1,696,942.29/1,153.44
  6. Step 6: Final answer
    x = 1,471.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.