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Finding the Fourth Proportional to 860.95, 1,283.97 and 840.00

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Solution

The fourth proportional to 860.95, 1,283.97 and 840.00 is: 1,252.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    860.95 : 1,283.97 = 840.00 : x
  2. Step 2: Convert to fraction form
    860.95/1,283.97 = 840.00/x
  3. Step 3: Cross multiply
    860.95x = 1,283.97 × 840.00
  4. Step 4: Simplify right side
    860.95x = 1,078,527.21
  5. Step 5: Solve for x
    x = 1,078,527.21/860.95
  6. Step 6: Final answer
    x = 1,252.71

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.