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Finding the Fourth Proportional to 679.54, 937.74 and 380.77

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Solution

The fourth proportional to 679.54, 937.74 and 380.77 is: 525.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    679.54 : 937.74 = 380.77 : x
  2. Step 2: Convert to fraction form
    679.54/937.74 = 380.77/x
  3. Step 3: Cross multiply
    679.54x = 937.74 × 380.77
  4. Step 4: Simplify right side
    679.54x = 357,063.26
  5. Step 5: Solve for x
    x = 357,063.26/679.54
  6. Step 6: Final answer
    x = 525.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.