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Finding the Fourth Proportional to 982.48, 1,356.06 and 720.04

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Solution

The fourth proportional to 982.48, 1,356.06 and 720.04 is: 993.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.48 : 1,356.06 = 720.04 : x
  2. Step 2: Convert to fraction form
    982.48/1,356.06 = 720.04/x
  3. Step 3: Cross multiply
    982.48x = 1,356.06 × 720.04
  4. Step 4: Simplify right side
    982.48x = 976,417.44
  5. Step 5: Solve for x
    x = 976,417.44/982.48
  6. Step 6: Final answer
    x = 993.83

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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.