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Finding the Fourth Proportional to 853.86, 1,283.31 and 708.57

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Solution

The fourth proportional to 853.86, 1,283.31 and 708.57 is: 1,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.86 : 1,283.31 = 708.57 : x
  2. Step 2: Convert to fraction form
    853.86/1,283.31 = 708.57/x
  3. Step 3: Cross multiply
    853.86x = 1,283.31 × 708.57
  4. Step 4: Simplify right side
    853.86x = 909,314.97
  5. Step 5: Solve for x
    x = 909,314.97/853.86
  6. Step 6: Final answer
    x = 1,064.95

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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.