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Finding the Fourth Proportional to 571.17, 787.80 and 374.46

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Solution

The fourth proportional to 571.17, 787.80 and 374.46 is: 516.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.17 : 787.80 = 374.46 : x
  2. Step 2: Convert to fraction form
    571.17/787.80 = 374.46/x
  3. Step 3: Cross multiply
    571.17x = 787.80 × 374.46
  4. Step 4: Simplify right side
    571.17x = 294,999.59
  5. Step 5: Solve for x
    x = 294,999.59/571.17
  6. Step 6: Final answer
    x = 516.48

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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.