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Finding the Fourth Proportional to 737.37, 1,017.63 and 422.69

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Solution

The fourth proportional to 737.37, 1,017.63 and 422.69 is: 583.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.37 : 1,017.63 = 422.69 : x
  2. Step 2: Convert to fraction form
    737.37/1,017.63 = 422.69/x
  3. Step 3: Cross multiply
    737.37x = 1,017.63 × 422.69
  4. Step 4: Simplify right side
    737.37x = 430,136.94
  5. Step 5: Solve for x
    x = 430,136.94/737.37
  6. Step 6: Final answer
    x = 583.34

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1.5x scale

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.