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Finding the Fourth Proportional to 788.49, 1,182.74 and 211.37

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Solution

The fourth proportional to 788.49, 1,182.74 and 211.37 is: 317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.49 : 1,182.74 = 211.37 : x
  2. Step 2: Convert to fraction form
    788.49/1,182.74 = 211.37/x
  3. Step 3: Cross multiply
    788.49x = 1,182.74 × 211.37
  4. Step 4: Simplify right side
    788.49x = 249,995.75
  5. Step 5: Solve for x
    x = 249,995.75/788.49
  6. Step 6: Final answer
    x = 317.06

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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.