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Finding the Fourth Proportional to 737.84, 1,015.20 and 604.56

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Solution

The fourth proportional to 737.84, 1,015.20 and 604.56 is: 831.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.84 : 1,015.20 = 604.56 : x
  2. Step 2: Convert to fraction form
    737.84/1,015.20 = 604.56/x
  3. Step 3: Cross multiply
    737.84x = 1,015.20 × 604.56
  4. Step 4: Simplify right side
    737.84x = 613,749.31
  5. Step 5: Solve for x
    x = 613,749.31/737.84
  6. Step 6: Final answer
    x = 831.82

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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.