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Finding the Fourth Proportional to 860.78, 1,291.83 and 568.19

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Solution

The fourth proportional to 860.78, 1,291.83 and 568.19 is: 852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.78 : 1,291.83 = 568.19 : x
  2. Step 2: Convert to fraction form
    860.78/1,291.83 = 568.19/x
  3. Step 3: Cross multiply
    860.78x = 1,291.83 × 568.19
  4. Step 4: Simplify right side
    860.78x = 734,004.89
  5. Step 5: Solve for x
    x = 734,004.89/860.78
  6. Step 6: Final answer
    x = 852.72

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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.