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Finding the Fourth Proportional to 984.37, 1,475.52 and 496.39

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Solution

The fourth proportional to 984.37, 1,475.52 and 496.39 is: 744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.37 : 1,475.52 = 496.39 : x
  2. Step 2: Convert to fraction form
    984.37/1,475.52 = 496.39/x
  3. Step 3: Cross multiply
    984.37x = 1,475.52 × 496.39
  4. Step 4: Simplify right side
    984.37x = 732,433.37
  5. Step 5: Solve for x
    x = 732,433.37/984.37
  6. Step 6: Final answer
    x = 744.06

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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.