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Finding the Fourth Proportional to 1,096.13, 1,642.60 and 511.31

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Solution

The fourth proportional to 1,096.13, 1,642.60 and 511.31 is: 766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096.13 : 1,642.60 = 511.31 : x
  2. Step 2: Convert to fraction form
    1,096.13/1,642.60 = 511.31/x
  3. Step 3: Cross multiply
    1,096.13x = 1,642.60 × 511.31
  4. Step 4: Simplify right side
    1,096.13x = 839,877.81
  5. Step 5: Solve for x
    x = 839,877.81/1,096.13
  6. Step 6: Final answer
    x = 766.22

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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.