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Finding the Fourth Proportional to 571.32, 787.73 and 405.41

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Solution

The fourth proportional to 571.32, 787.73 and 405.41 is: 558.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    571.32 : 787.73 = 405.41 : x
  2. Step 2: Convert to fraction form
    571.32/787.73 = 405.41/x
  3. Step 3: Cross multiply
    571.32x = 787.73 × 405.41
  4. Step 4: Simplify right side
    571.32x = 319,347.65
  5. Step 5: Solve for x
    x = 319,347.65/571.32
  6. Step 6: Final answer
    x = 558.96

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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.