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Finding the Fourth Proportional to 991.24, 1,485.66 and 874.60

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Solution

The fourth proportional to 991.24, 1,485.66 and 874.60 is: 1,310.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.24 : 1,485.66 = 874.60 : x
  2. Step 2: Convert to fraction form
    991.24/1,485.66 = 874.60/x
  3. Step 3: Cross multiply
    991.24x = 1,485.66 × 874.60
  4. Step 4: Simplify right side
    991.24x = 1,299,358.24
  5. Step 5: Solve for x
    x = 1,299,358.24/991.24
  6. Step 6: Final answer
    x = 1,310.84

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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.