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Finding the Fourth Proportional to 571.34, 787.66 and 361.41

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Solution

The fourth proportional to 571.34, 787.66 and 361.41 is: 498.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.34 : 787.66 = 361.41 : x
  2. Step 2: Convert to fraction form
    571.34/787.66 = 361.41/x
  3. Step 3: Cross multiply
    571.34x = 787.66 × 361.41
  4. Step 4: Simplify right side
    571.34x = 284,662.46
  5. Step 5: Solve for x
    x = 284,662.46/571.34
  6. Step 6: Final answer
    x = 498.24

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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.