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Finding the Fourth Proportional to 973.97, 1,336.92 and 860.97

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Solution

The fourth proportional to 973.97, 1,336.92 and 860.97 is: 1,181.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.97 : 1,336.92 = 860.97 : x
  2. Step 2: Convert to fraction form
    973.97/1,336.92 = 860.97/x
  3. Step 3: Cross multiply
    973.97x = 1,336.92 × 860.97
  4. Step 4: Simplify right side
    973.97x = 1,151,048.01
  5. Step 5: Solve for x
    x = 1,151,048.01/973.97
  6. Step 6: Final answer
    x = 1,181.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.