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Finding the Fourth Proportional to 524.27, 789.47 and 388.27

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Solution

The fourth proportional to 524.27, 789.47 and 388.27 is: 584.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    524.27 : 789.47 = 388.27 : x
  2. Step 2: Convert to fraction form
    524.27/789.47 = 388.27/x
  3. Step 3: Cross multiply
    524.27x = 789.47 × 388.27
  4. Step 4: Simplify right side
    524.27x = 306,528.02
  5. Step 5: Solve for x
    x = 306,528.02/524.27
  6. Step 6: Final answer
    x = 584.67

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.