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Finding the Fourth Proportional to 1,133.79, 1,699.47 and 742.56

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Solution

The fourth proportional to 1,133.79, 1,699.47 and 742.56 is: 1,113.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.79 : 1,699.47 = 742.56 : x
  2. Step 2: Convert to fraction form
    1,133.79/1,699.47 = 742.56/x
  3. Step 3: Cross multiply
    1,133.79x = 1,699.47 × 742.56
  4. Step 4: Simplify right side
    1,133.79x = 1,261,958.44
  5. Step 5: Solve for x
    x = 1,261,958.44/1,133.79
  6. Step 6: Final answer
    x = 1,113.04

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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.