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Finding the Fourth Proportional to 1,990.54, 2,986.35 and 603.82

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Solution

The fourth proportional to 1,990.54, 2,986.35 and 603.82 is: 905.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.54 : 2,986.35 = 603.82 : x
  2. Step 2: Convert to fraction form
    1,990.54/2,986.35 = 603.82/x
  3. Step 3: Cross multiply
    1,990.54x = 2,986.35 × 603.82
  4. Step 4: Simplify right side
    1,990.54x = 1,803,217.86
  5. Step 5: Solve for x
    x = 1,803,217.86/1,990.54
  6. Step 6: Final answer
    x = 905.89

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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.