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Finding the Fourth Proportional to 541.77, 747.83 and 376.21

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Solution

The fourth proportional to 541.77, 747.83 and 376.21 is: 519.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.77 : 747.83 = 376.21 : x
  2. Step 2: Convert to fraction form
    541.77/747.83 = 376.21/x
  3. Step 3: Cross multiply
    541.77x = 747.83 × 376.21
  4. Step 4: Simplify right side
    541.77x = 281,341.12
  5. Step 5: Solve for x
    x = 281,341.12/541.77
  6. Step 6: Final answer
    x = 519.30

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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.