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Finding the Fourth Proportional to 382.49, 570.85 and 345.59

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Solution

The fourth proportional to 382.49, 570.85 and 345.59 is: 515.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.49 : 570.85 = 345.59 : x
  2. Step 2: Convert to fraction form
    382.49/570.85 = 345.59/x
  3. Step 3: Cross multiply
    382.49x = 570.85 × 345.59
  4. Step 4: Simplify right side
    382.49x = 197,276.33
  5. Step 5: Solve for x
    x = 197,276.33/382.49
  6. Step 6: Final answer
    x = 515.77

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.