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Finding the Fourth Proportional to 860.40, 1,193.58 and 782.64

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Solution

The fourth proportional to 860.40, 1,193.58 and 782.64 is: 1,085.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.40 : 1,193.58 = 782.64 : x
  2. Step 2: Convert to fraction form
    860.40/1,193.58 = 782.64/x
  3. Step 3: Cross multiply
    860.40x = 1,193.58 × 782.64
  4. Step 4: Simplify right side
    860.40x = 934,143.45
  5. Step 5: Solve for x
    x = 934,143.45/860.40
  6. Step 6: Final answer
    x = 1,085.71

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.