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Finding the Fourth Proportional to 1,092.19, 1,638.51 and 990.13

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Solution

The fourth proportional to 1,092.19, 1,638.51 and 990.13 is: 1,485.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.19 : 1,638.51 = 990.13 : x
  2. Step 2: Convert to fraction form
    1,092.19/1,638.51 = 990.13/x
  3. Step 3: Cross multiply
    1,092.19x = 1,638.51 × 990.13
  4. Step 4: Simplify right side
    1,092.19x = 1,622,337.91
  5. Step 5: Solve for x
    x = 1,622,337.91/1,092.19
  6. Step 6: Final answer
    x = 1,485.40

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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.