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Finding the Fourth Proportional to 582.49, 874.60 and 388.70

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Solution

The fourth proportional to 582.49, 874.60 and 388.70 is: 583.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.49 : 874.60 = 388.70 : x
  2. Step 2: Convert to fraction form
    582.49/874.60 = 388.70/x
  3. Step 3: Cross multiply
    582.49x = 874.60 × 388.70
  4. Step 4: Simplify right side
    582.49x = 339,954.96
  5. Step 5: Solve for x
    x = 339,954.96/582.49
  6. Step 6: Final answer
    x = 583.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.