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Finding the Fourth Proportional to 523.58, 788.43 and 387.58

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Solution

The fourth proportional to 523.58, 788.43 and 387.58 is: 583.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.58 : 788.43 = 387.58 : x
  2. Step 2: Convert to fraction form
    523.58/788.43 = 387.58/x
  3. Step 3: Cross multiply
    523.58x = 788.43 × 387.58
  4. Step 4: Simplify right side
    523.58x = 305,580.67
  5. Step 5: Solve for x
    x = 305,580.67/523.58
  6. Step 6: Final answer
    x = 583.64

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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.