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Finding the Fourth Proportional to 982.51, 1,473.72 and 397.34

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Solution

The fourth proportional to 982.51, 1,473.72 and 397.34 is: 595.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.51 : 1,473.72 = 397.34 : x
  2. Step 2: Convert to fraction form
    982.51/1,473.72 = 397.34/x
  3. Step 3: Cross multiply
    982.51x = 1,473.72 × 397.34
  4. Step 4: Simplify right side
    982.51x = 585,567.90
  5. Step 5: Solve for x
    x = 585,567.90/982.51
  6. Step 6: Final answer
    x = 595.99

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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.