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Finding the Fourth Proportional to 525.84, 791.83 and 389.83

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Solution

The fourth proportional to 525.84, 791.83 and 389.83 is: 587.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    525.84 : 791.83 = 389.83 : x
  2. Step 2: Convert to fraction form
    525.84/791.83 = 389.83/x
  3. Step 3: Cross multiply
    525.84x = 791.83 × 389.83
  4. Step 4: Simplify right side
    525.84x = 308,679.09
  5. Step 5: Solve for x
    x = 308,679.09/525.84
  6. Step 6: Final answer
    x = 587.02

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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.