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Finding the Fourth Proportional to 982.22, 1,355.81 and 688.35

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Solution

The fourth proportional to 982.22, 1,355.81 and 688.35 is: 950.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.22 : 1,355.81 = 688.35 : x
  2. Step 2: Convert to fraction form
    982.22/1,355.81 = 688.35/x
  3. Step 3: Cross multiply
    982.22x = 1,355.81 × 688.35
  4. Step 4: Simplify right side
    982.22x = 933,268.37
  5. Step 5: Solve for x
    x = 933,268.37/982.22
  6. Step 6: Final answer
    x = 950.17

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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.