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Finding the Fourth Proportional to 571.46, 787.82 and 382.32

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Solution

The fourth proportional to 571.46, 787.82 and 382.32 is: 527.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.46 : 787.82 = 382.32 : x
  2. Step 2: Convert to fraction form
    571.46/787.82 = 382.32/x
  3. Step 3: Cross multiply
    571.46x = 787.82 × 382.32
  4. Step 4: Simplify right side
    571.46x = 301,199.34
  5. Step 5: Solve for x
    x = 301,199.34/571.46
  6. Step 6: Final answer
    x = 527.07

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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.