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Finding the Fourth Proportional to 570.33, 787.82 and 405.09

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Solution

The fourth proportional to 570.33, 787.82 and 405.09 is: 559.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.33 : 787.82 = 405.09 : x
  2. Step 2: Convert to fraction form
    570.33/787.82 = 405.09/x
  3. Step 3: Cross multiply
    570.33x = 787.82 × 405.09
  4. Step 4: Simplify right side
    570.33x = 319,135.98
  5. Step 5: Solve for x
    x = 319,135.98/570.33
  6. Step 6: Final answer
    x = 559.56

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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.