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Finding the Fourth Proportional to 1,076.53, 1,612.06 and 986.32

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Solution

The fourth proportional to 1,076.53, 1,612.06 and 986.32 is: 1,476.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076.53 : 1,612.06 = 986.32 : x
  2. Step 2: Convert to fraction form
    1,076.53/1,612.06 = 986.32/x
  3. Step 3: Cross multiply
    1,076.53x = 1,612.06 × 986.32
  4. Step 4: Simplify right side
    1,076.53x = 1,590,007.02
  5. Step 5: Solve for x
    x = 1,590,007.02/1,076.53
  6. Step 6: Final answer
    x = 1,476.97

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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.