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Finding the Fourth Proportional to 990.54, 1,487.50 and 825.84

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Solution

The fourth proportional to 990.54, 1,487.50 and 825.84 is: 1,240.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.54 : 1,487.50 = 825.84 : x
  2. Step 2: Convert to fraction form
    990.54/1,487.50 = 825.84/x
  3. Step 3: Cross multiply
    990.54x = 1,487.50 × 825.84
  4. Step 4: Simplify right side
    990.54x = 1,228,434.94
  5. Step 5: Solve for x
    x = 1,228,434.94/990.54
  6. Step 6: Final answer
    x = 1,240.17

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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.