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Finding the Fourth Proportional to 850.56, 1,269.48 and 782.16

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Solution

The fourth proportional to 850.56, 1,269.48 and 782.16 is: 1,167.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    850.56 : 1,269.48 = 782.16 : x
  2. Step 2: Convert to fraction form
    850.56/1,269.48 = 782.16/x
  3. Step 3: Cross multiply
    850.56x = 1,269.48 × 782.16
  4. Step 4: Simplify right side
    850.56x = 992,936.48
  5. Step 5: Solve for x
    x = 992,936.48/850.56
  6. Step 6: Final answer
    x = 1,167.39

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.