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Finding the Fourth Proportional to 541.84, 746.76 and 399.82

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Solution

The fourth proportional to 541.84, 746.76 and 399.82 is: 551.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.84 : 746.76 = 399.82 : x
  2. Step 2: Convert to fraction form
    541.84/746.76 = 399.82/x
  3. Step 3: Cross multiply
    541.84x = 746.76 × 399.82
  4. Step 4: Simplify right side
    541.84x = 298,569.58
  5. Step 5: Solve for x
    x = 298,569.58/541.84
  6. Step 6: Final answer
    x = 551.03

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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.