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Finding the Fourth Proportional to 526.26, 791.16 and 424.26

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Solution

The fourth proportional to 526.26, 791.16 and 424.26 is: 637.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    526.26 : 791.16 = 424.26 : x
  2. Step 2: Convert to fraction form
    526.26/791.16 = 424.26/x
  3. Step 3: Cross multiply
    526.26x = 791.16 × 424.26
  4. Step 4: Simplify right side
    526.26x = 335,657.54
  5. Step 5: Solve for x
    x = 335,657.54/526.26
  6. Step 6: Final answer
    x = 637.82

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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.