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Finding the Fourth Proportional to 749.97, 1,035.05 and 418.43

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Solution

The fourth proportional to 749.97, 1,035.05 and 418.43 is: 577.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    749.97 : 1,035.05 = 418.43 : x
  2. Step 2: Convert to fraction form
    749.97/1,035.05 = 418.43/x
  3. Step 3: Cross multiply
    749.97x = 1,035.05 × 418.43
  4. Step 4: Simplify right side
    749.97x = 433,096.47
  5. Step 5: Solve for x
    x = 433,096.47/749.97
  6. Step 6: Final answer
    x = 577.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.