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Finding the Fourth Proportional to 1,092.30, 1,638.32 and 312.36

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Solution

The fourth proportional to 1,092.30, 1,638.32 and 312.36 is: 468.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.30 : 1,638.32 = 312.36 : x
  2. Step 2: Convert to fraction form
    1,092.30/1,638.32 = 312.36/x
  3. Step 3: Cross multiply
    1,092.30x = 1,638.32 × 312.36
  4. Step 4: Simplify right side
    1,092.30x = 511,744.07
  5. Step 5: Solve for x
    x = 511,744.07/1,092.30
  6. Step 6: Final answer
    x = 468.50

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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.