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Finding the Fourth Proportional to 869.51, 1,304.33 and 504.33

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Solution

The fourth proportional to 869.51, 1,304.33 and 504.33 is: 756.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    869.51 : 1,304.33 = 504.33 : x
  2. Step 2: Convert to fraction form
    869.51/1,304.33 = 504.33/x
  3. Step 3: Cross multiply
    869.51x = 1,304.33 × 504.33
  4. Step 4: Simplify right side
    869.51x = 657,810.23
  5. Step 5: Solve for x
    x = 657,810.23/869.51
  6. Step 6: Final answer
    x = 756.53

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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.