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Finding the Fourth Proportional to 755.58, 1,131.96 and 646.23

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Solution

The fourth proportional to 755.58, 1,131.96 and 646.23 is: 968.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    755.58 : 1,131.96 = 646.23 : x
  2. Step 2: Convert to fraction form
    755.58/1,131.96 = 646.23/x
  3. Step 3: Cross multiply
    755.58x = 1,131.96 × 646.23
  4. Step 4: Simplify right side
    755.58x = 731,506.51
  5. Step 5: Solve for x
    x = 731,506.51/755.58
  6. Step 6: Final answer
    x = 968.14

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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.