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Finding the Fourth Proportional to 749.26, 1,130.60 and 719.29

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Solution

The fourth proportional to 749.26, 1,130.60 and 719.29 is: 1,085.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.26 : 1,130.60 = 719.29 : x
  2. Step 2: Convert to fraction form
    749.26/1,130.60 = 719.29/x
  3. Step 3: Cross multiply
    749.26x = 1,130.60 × 719.29
  4. Step 4: Simplify right side
    749.26x = 813,229.27
  5. Step 5: Solve for x
    x = 813,229.27/749.26
  6. Step 6: Final answer
    x = 1,085.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.