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Finding the Fourth Proportional to 744.58, 1,118.09 and 457.84

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Solution

The fourth proportional to 744.58, 1,118.09 and 457.84 is: 687.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.58 : 1,118.09 = 457.84 : x
  2. Step 2: Convert to fraction form
    744.58/1,118.09 = 457.84/x
  3. Step 3: Cross multiply
    744.58x = 1,118.09 × 457.84
  4. Step 4: Simplify right side
    744.58x = 511,906.33
  5. Step 5: Solve for x
    x = 511,906.33/744.58
  6. Step 6: Final answer
    x = 687.51

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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.