Home / 1,092.15-1,637.97-312.14

Finding the Fourth Proportional to 1,092.15, 1,637.97 and 312.14

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Solution

The fourth proportional to 1,092.15, 1,637.97 and 312.14 is: 468.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,092.15 : 1,637.97 = 312.14 : x
  2. Step 2: Convert to fraction form
    1,092.15/1,637.97 = 312.14/x
  3. Step 3: Cross multiply
    1,092.15x = 1,637.97 × 312.14
  4. Step 4: Simplify right side
    1,092.15x = 511,267.77
  5. Step 5: Solve for x
    x = 511,267.77/1,092.15
  6. Step 6: Final answer
    x = 468.13

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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.