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Finding the Fourth Proportional to 741.76, 1,110.51 and 736.29

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Solution

The fourth proportional to 741.76, 1,110.51 and 736.29 is: 1,102.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.76 : 1,110.51 = 736.29 : x
  2. Step 2: Convert to fraction form
    741.76/1,110.51 = 736.29/x
  3. Step 3: Cross multiply
    741.76x = 1,110.51 × 736.29
  4. Step 4: Simplify right side
    741.76x = 817,657.41
  5. Step 5: Solve for x
    x = 817,657.41/741.76
  6. Step 6: Final answer
    x = 1,102.32

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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.