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Finding the Fourth Proportional to 746.66, 1,119.44 and 457.22

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Solution

The fourth proportional to 746.66, 1,119.44 and 457.22 is: 685.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.66 : 1,119.44 = 457.22 : x
  2. Step 2: Convert to fraction form
    746.66/1,119.44 = 457.22/x
  3. Step 3: Cross multiply
    746.66x = 1,119.44 × 457.22
  4. Step 4: Simplify right side
    746.66x = 511,830.36
  5. Step 5: Solve for x
    x = 511,830.36/746.66
  6. Step 6: Final answer
    x = 685.49

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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.