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Finding the Fourth Proportional to 1,157.15, 1,734.56 and 746.57

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Solution

The fourth proportional to 1,157.15, 1,734.56 and 746.57 is: 1,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.15 : 1,734.56 = 746.57 : x
  2. Step 2: Convert to fraction form
    1,157.15/1,734.56 = 746.57/x
  3. Step 3: Cross multiply
    1,157.15x = 1,734.56 × 746.57
  4. Step 4: Simplify right side
    1,157.15x = 1,294,973.79
  5. Step 5: Solve for x
    x = 1,294,973.79/1,157.15
  6. Step 6: Final answer
    x = 1,119.11

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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.