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Finding the Fourth Proportional to 991.20, 1,485.72 and 746.94

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Solution

The fourth proportional to 991.20, 1,485.72 and 746.94 is: 1,119.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.20 : 1,485.72 = 746.94 : x
  2. Step 2: Convert to fraction form
    991.20/1,485.72 = 746.94/x
  3. Step 3: Cross multiply
    991.20x = 1,485.72 × 746.94
  4. Step 4: Simplify right side
    991.20x = 1,109,743.70
  5. Step 5: Solve for x
    x = 1,109,743.70/991.20
  6. Step 6: Final answer
    x = 1,119.60

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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.