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Finding the Fourth Proportional to 523.56, 788.40 and 387.57

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Solution

The fourth proportional to 523.56, 788.40 and 387.57 is: 583.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.56 : 788.40 = 387.57 : x
  2. Step 2: Convert to fraction form
    523.56/788.40 = 387.57/x
  3. Step 3: Cross multiply
    523.56x = 788.40 × 387.57
  4. Step 4: Simplify right side
    523.56x = 305,558.71
  5. Step 5: Solve for x
    x = 305,558.71/523.56
  6. Step 6: Final answer
    x = 583.61

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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.