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Finding the Fourth Proportional to 1,082.50, 1,612.58 and 1,015.27

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Solution

The fourth proportional to 1,082.50, 1,612.58 and 1,015.27 is: 1,512.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,082.50 : 1,612.58 = 1,015.27 : x
  2. Step 2: Convert to fraction form
    1,082.50/1,612.58 = 1,015.27/x
  3. Step 3: Cross multiply
    1,082.50x = 1,612.58 × 1,015.27
  4. Step 4: Simplify right side
    1,082.50x = 1,637,194.99
  5. Step 5: Solve for x
    x = 1,637,194.99/1,082.50
  6. Step 6: Final answer
    x = 1,512.42

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.