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Finding the Fourth Proportional to 987.36, 1,362.64 and 573.60

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Solution

The fourth proportional to 987.36, 1,362.64 and 573.60 is: 791.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    987.36 : 1,362.64 = 573.60 : x
  2. Step 2: Convert to fraction form
    987.36/1,362.64 = 573.60/x
  3. Step 3: Cross multiply
    987.36x = 1,362.64 × 573.60
  4. Step 4: Simplify right side
    987.36x = 781,610.30
  5. Step 5: Solve for x
    x = 781,610.30/987.36
  6. Step 6: Final answer
    x = 791.62

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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.