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Finding the Fourth Proportional to 991.73, 1,485.62 and 472.24

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Solution

The fourth proportional to 991.73, 1,485.62 and 472.24 is: 707.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.73 : 1,485.62 = 472.24 : x
  2. Step 2: Convert to fraction form
    991.73/1,485.62 = 472.24/x
  3. Step 3: Cross multiply
    991.73x = 1,485.62 × 472.24
  4. Step 4: Simplify right side
    991.73x = 701,563.11
  5. Step 5: Solve for x
    x = 701,563.11/991.73
  6. Step 6: Final answer
    x = 707.41

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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.