Home / 1,192.41-1,788.55-314.89

Finding the Fourth Proportional to 1,192.41, 1,788.55 and 314.89

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Solution

The fourth proportional to 1,192.41, 1,788.55 and 314.89 is: 472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192.41 : 1,788.55 = 314.89 : x
  2. Step 2: Convert to fraction form
    1,192.41/1,788.55 = 314.89/x
  3. Step 3: Cross multiply
    1,192.41x = 1,788.55 × 314.89
  4. Step 4: Simplify right side
    1,192.41x = 563,191.25
  5. Step 5: Solve for x
    x = 563,191.25/1,192.41
  6. Step 6: Final answer
    x = 472.31

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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.