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Finding the Fourth Proportional to 601.48, 829.74 and 380.26

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Solution

The fourth proportional to 601.48, 829.74 and 380.26 is: 524.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.48 : 829.74 = 380.26 : x
  2. Step 2: Convert to fraction form
    601.48/829.74 = 380.26/x
  3. Step 3: Cross multiply
    601.48x = 829.74 × 380.26
  4. Step 4: Simplify right side
    601.48x = 315,516.93
  5. Step 5: Solve for x
    x = 315,516.93/601.48
  6. Step 6: Final answer
    x = 524.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.