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Finding the Fourth Proportional to 737.32, 1,017.74 and 475.34

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Solution

The fourth proportional to 737.32, 1,017.74 and 475.34 is: 656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.32 : 1,017.74 = 475.34 : x
  2. Step 2: Convert to fraction form
    737.32/1,017.74 = 475.34/x
  3. Step 3: Cross multiply
    737.32x = 1,017.74 × 475.34
  4. Step 4: Simplify right side
    737.32x = 483,772.53
  5. Step 5: Solve for x
    x = 483,772.53/737.32
  6. Step 6: Final answer
    x = 656.12

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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.