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Finding the Fourth Proportional to 982.51, 1,355.30 and 589.31

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Solution

The fourth proportional to 982.51, 1,355.30 and 589.31 is: 812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.51 : 1,355.30 = 589.31 : x
  2. Step 2: Convert to fraction form
    982.51/1,355.30 = 589.31/x
  3. Step 3: Cross multiply
    982.51x = 1,355.30 × 589.31
  4. Step 4: Simplify right side
    982.51x = 798,691.84
  5. Step 5: Solve for x
    x = 798,691.84/982.51
  6. Step 6: Final answer
    x = 812.91

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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.