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Finding the Fourth Proportional to 1,402.99, 2,104.73 and 580.81

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Solution

The fourth proportional to 1,402.99, 2,104.73 and 580.81 is: 871.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402.99 : 2,104.73 = 580.81 : x
  2. Step 2: Convert to fraction form
    1,402.99/2,104.73 = 580.81/x
  3. Step 3: Cross multiply
    1,402.99x = 2,104.73 × 580.81
  4. Step 4: Simplify right side
    1,402.99x = 1,222,448.23
  5. Step 5: Solve for x
    x = 1,222,448.23/1,402.99
  6. Step 6: Final answer
    x = 871.32

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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.