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Finding the Fourth Proportional to 982.05, 1,477.19 and 973.81

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Solution

The fourth proportional to 982.05, 1,477.19 and 973.81 is: 1,464.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    982.05 : 1,477.19 = 973.81 : x
  2. Step 2: Convert to fraction form
    982.05/1,477.19 = 973.81/x
  3. Step 3: Cross multiply
    982.05x = 1,477.19 × 973.81
  4. Step 4: Simplify right side
    982.05x = 1,438,502.39
  5. Step 5: Solve for x
    x = 1,438,502.39/982.05
  6. Step 6: Final answer
    x = 1,464.80

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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.