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Finding the Fourth Proportional to 858.55, 1,185.75 and 765.29

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Solution

The fourth proportional to 858.55, 1,185.75 and 765.29 is: 1,056.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.55 : 1,185.75 = 765.29 : x
  2. Step 2: Convert to fraction form
    858.55/1,185.75 = 765.29/x
  3. Step 3: Cross multiply
    858.55x = 1,185.75 × 765.29
  4. Step 4: Simplify right side
    858.55x = 907,442.62
  5. Step 5: Solve for x
    x = 907,442.62/858.55
  6. Step 6: Final answer
    x = 1,056.95

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.