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Finding the Fourth Proportional to 755.49, 1,133.45 and 431.09

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Solution

The fourth proportional to 755.49, 1,133.45 and 431.09 is: 646.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.49 : 1,133.45 = 431.09 : x
  2. Step 2: Convert to fraction form
    755.49/1,133.45 = 431.09/x
  3. Step 3: Cross multiply
    755.49x = 1,133.45 × 431.09
  4. Step 4: Simplify right side
    755.49x = 488,611.14
  5. Step 5: Solve for x
    x = 488,611.14/755.49
  6. Step 6: Final answer
    x = 646.75

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1.5x scale

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.