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Finding the Fourth Proportional to 571.17, 787.89 and 360.96

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Solution

The fourth proportional to 571.17, 787.89 and 360.96 is: 497.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.17 : 787.89 = 360.96 : x
  2. Step 2: Convert to fraction form
    571.17/787.89 = 360.96/x
  3. Step 3: Cross multiply
    571.17x = 787.89 × 360.96
  4. Step 4: Simplify right side
    571.17x = 284,396.77
  5. Step 5: Solve for x
    x = 284,396.77/571.17
  6. Step 6: Final answer
    x = 497.92

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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.