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Finding the Fourth Proportional to 855.57, 1,291.02 and 825.06

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Solution

The fourth proportional to 855.57, 1,291.02 and 825.06 is: 1,244.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.57 : 1,291.02 = 825.06 : x
  2. Step 2: Convert to fraction form
    855.57/1,291.02 = 825.06/x
  3. Step 3: Cross multiply
    855.57x = 1,291.02 × 825.06
  4. Step 4: Simplify right side
    855.57x = 1,065,168.96
  5. Step 5: Solve for x
    x = 1,065,168.96/855.57
  6. Step 6: Final answer
    x = 1,244.98

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.