Home / 1,092.07-1,638.35-312.08

Finding the Fourth Proportional to 1,092.07, 1,638.35 and 312.08

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Solution

The fourth proportional to 1,092.07, 1,638.35 and 312.08 is: 468.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.07 : 1,638.35 = 312.08 : x
  2. Step 2: Convert to fraction form
    1,092.07/1,638.35 = 312.08/x
  3. Step 3: Cross multiply
    1,092.07x = 1,638.35 × 312.08
  4. Step 4: Simplify right side
    1,092.07x = 511,294.05
  5. Step 5: Solve for x
    x = 511,294.05/1,092.07
  6. Step 6: Final answer
    x = 468.19

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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.