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Finding the Fourth Proportional to 901.58, 1,244.34 and 860.54

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Solution

The fourth proportional to 901.58, 1,244.34 and 860.54 is: 1,187.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    901.58 : 1,244.34 = 860.54 : x
  2. Step 2: Convert to fraction form
    901.58/1,244.34 = 860.54/x
  3. Step 3: Cross multiply
    901.58x = 1,244.34 × 860.54
  4. Step 4: Simplify right side
    901.58x = 1,070,804.34
  5. Step 5: Solve for x
    x = 1,070,804.34/901.58
  6. Step 6: Final answer
    x = 1,187.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.