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Finding the Fourth Proportional to 860.10, 1,295.63 and 785.38

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Solution

The fourth proportional to 860.10, 1,295.63 and 785.38 is: 1,183.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.10 : 1,295.63 = 785.38 : x
  2. Step 2: Convert to fraction form
    860.10/1,295.63 = 785.38/x
  3. Step 3: Cross multiply
    860.10x = 1,295.63 × 785.38
  4. Step 4: Simplify right side
    860.10x = 1,017,560.61
  5. Step 5: Solve for x
    x = 1,017,560.61/860.10
  6. Step 6: Final answer
    x = 1,183.07

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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.