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Finding the Fourth Proportional to 1,131.46, 1,561.64 and 737.80

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Solution

The fourth proportional to 1,131.46, 1,561.64 and 737.80 is: 1,018.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,131.46 : 1,561.64 = 737.80 : x
  2. Step 2: Convert to fraction form
    1,131.46/1,561.64 = 737.80/x
  3. Step 3: Cross multiply
    1,131.46x = 1,561.64 × 737.80
  4. Step 4: Simplify right side
    1,131.46x = 1,152,181.26
  5. Step 5: Solve for x
    x = 1,152,181.26/1,131.46
  6. Step 6: Final answer
    x = 1,018.31

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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.