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Finding the Fourth Proportional to 746.74, 1,120.13 and 440.74

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Solution

The fourth proportional to 746.74, 1,120.13 and 440.74 is: 661.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.74 : 1,120.13 = 440.74 : x
  2. Step 2: Convert to fraction form
    746.74/1,120.13 = 440.74/x
  3. Step 3: Cross multiply
    746.74x = 1,120.13 × 440.74
  4. Step 4: Simplify right side
    746.74x = 493,683.89
  5. Step 5: Solve for x
    x = 493,683.89/746.74
  6. Step 6: Final answer
    x = 661.12

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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.