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Finding the Fourth Proportional to 380.77, 567.63 and 374.84

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Solution

The fourth proportional to 380.77, 567.63 and 374.84 is: 558.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.77 : 567.63 = 374.84 : x
  2. Step 2: Convert to fraction form
    380.77/567.63 = 374.84/x
  3. Step 3: Cross multiply
    380.77x = 567.63 × 374.84
  4. Step 4: Simplify right side
    380.77x = 212,769.49
  5. Step 5: Solve for x
    x = 212,769.49/380.77
  6. Step 6: Final answer
    x = 558.79

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.