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Finding the Fourth Proportional to 1,047.98, 1,572.24 and 982.10

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Solution

The fourth proportional to 1,047.98, 1,572.24 and 982.10 is: 1,473.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.98 : 1,572.24 = 982.10 : x
  2. Step 2: Convert to fraction form
    1,047.98/1,572.24 = 982.10/x
  3. Step 3: Cross multiply
    1,047.98x = 1,572.24 × 982.10
  4. Step 4: Simplify right side
    1,047.98x = 1,544,096.90
  5. Step 5: Solve for x
    x = 1,544,096.90/1,047.98
  6. Step 6: Final answer
    x = 1,473.40

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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.