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Finding the Fourth Proportional to 973.22, 1,335.89 and 860.22

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Solution

The fourth proportional to 973.22, 1,335.89 and 860.22 is: 1,180.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    973.22 : 1,335.89 = 860.22 : x
  2. Step 2: Convert to fraction form
    973.22/1,335.89 = 860.22/x
  3. Step 3: Cross multiply
    973.22x = 1,335.89 × 860.22
  4. Step 4: Simplify right side
    973.22x = 1,149,161.45
  5. Step 5: Solve for x
    x = 1,149,161.45/973.22
  6. Step 6: Final answer
    x = 1,180.79

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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.