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Finding the Fourth Proportional to 570.56, 787.43 and 349.65

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Solution

The fourth proportional to 570.56, 787.43 and 349.65 is: 482.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.56 : 787.43 = 349.65 : x
  2. Step 2: Convert to fraction form
    570.56/787.43 = 349.65/x
  3. Step 3: Cross multiply
    570.56x = 787.43 × 349.65
  4. Step 4: Simplify right side
    570.56x = 275,323.15
  5. Step 5: Solve for x
    x = 275,323.15/570.56
  6. Step 6: Final answer
    x = 482.55

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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.