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Finding the Fourth Proportional to 990.86, 1,484.81 and 783.09

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Solution

The fourth proportional to 990.86, 1,484.81 and 783.09 is: 1,173.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.86 : 1,484.81 = 783.09 : x
  2. Step 2: Convert to fraction form
    990.86/1,484.81 = 783.09/x
  3. Step 3: Cross multiply
    990.86x = 1,484.81 × 783.09
  4. Step 4: Simplify right side
    990.86x = 1,162,735.95
  5. Step 5: Solve for x
    x = 1,162,735.95/990.86
  6. Step 6: Final answer
    x = 1,173.47

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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.