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Finding the Fourth Proportional to 526.75, 791.67 and 488.57

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Solution

The fourth proportional to 526.75, 791.67 and 488.57 is: 734.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.75 : 791.67 = 488.57 : x
  2. Step 2: Convert to fraction form
    526.75/791.67 = 488.57/x
  3. Step 3: Cross multiply
    526.75x = 791.67 × 488.57
  4. Step 4: Simplify right side
    526.75x = 386,784.09
  5. Step 5: Solve for x
    x = 386,784.09/526.75
  6. Step 6: Final answer
    x = 734.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.