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Finding the Fourth Proportional to 786.82, 1,180.16 and 370.25

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Solution

The fourth proportional to 786.82, 1,180.16 and 370.25 is: 555.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.82 : 1,180.16 = 370.25 : x
  2. Step 2: Convert to fraction form
    786.82/1,180.16 = 370.25/x
  3. Step 3: Cross multiply
    786.82x = 1,180.16 × 370.25
  4. Step 4: Simplify right side
    786.82x = 436,960.76
  5. Step 5: Solve for x
    x = 436,960.76/786.82
  6. Step 6: Final answer
    x = 555.35

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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.