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Finding the Fourth Proportional to 982.40, 1,474.46 and 520.51

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Solution

The fourth proportional to 982.40, 1,474.46 and 520.51 is: 781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.40 : 1,474.46 = 520.51 : x
  2. Step 2: Convert to fraction form
    982.40/1,474.46 = 520.51/x
  3. Step 3: Cross multiply
    982.40x = 1,474.46 × 520.51
  4. Step 4: Simplify right side
    982.40x = 767,471.17
  5. Step 5: Solve for x
    x = 767,471.17/982.40
  6. Step 6: Final answer
    x = 781.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.