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Finding the Fourth Proportional to 983.99, 1,473.39 and 788.08

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Solution

The fourth proportional to 983.99, 1,473.39 and 788.08 is: 1,180.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    983.99 : 1,473.39 = 788.08 : x
  2. Step 2: Convert to fraction form
    983.99/1,473.39 = 788.08/x
  3. Step 3: Cross multiply
    983.99x = 1,473.39 × 788.08
  4. Step 4: Simplify right side
    983.99x = 1,161,149.19
  5. Step 5: Solve for x
    x = 1,161,149.19/983.99
  6. Step 6: Final answer
    x = 1,180.04

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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.