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Finding the Fourth Proportional to 388.54, 578.52 and 382.70

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Solution

The fourth proportional to 388.54, 578.52 and 382.70 is: 569.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    388.54 : 578.52 = 382.70 : x
  2. Step 2: Convert to fraction form
    388.54/578.52 = 382.70/x
  3. Step 3: Cross multiply
    388.54x = 578.52 × 382.70
  4. Step 4: Simplify right side
    388.54x = 221,399.60
  5. Step 5: Solve for x
    x = 221,399.60/388.54
  6. Step 6: Final answer
    x = 569.82

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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.