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Finding the Fourth Proportional to 737.42, 1,111.32 and 664.38

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Solution

The fourth proportional to 737.42, 1,111.32 and 664.38 is: 1,001.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.42 : 1,111.32 = 664.38 : x
  2. Step 2: Convert to fraction form
    737.42/1,111.32 = 664.38/x
  3. Step 3: Cross multiply
    737.42x = 1,111.32 × 664.38
  4. Step 4: Simplify right side
    737.42x = 738,338.78
  5. Step 5: Solve for x
    x = 738,338.78/737.42
  6. Step 6: Final answer
    x = 1,001.25

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.