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Finding the Fourth Proportional to 482.37, 726.38 and 346.36

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Solution

The fourth proportional to 482.37, 726.38 and 346.36 is: 521.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    482.37 : 726.38 = 346.36 : x
  2. Step 2: Convert to fraction form
    482.37/726.38 = 346.36/x
  3. Step 3: Cross multiply
    482.37x = 726.38 × 346.36
  4. Step 4: Simplify right side
    482.37x = 251,588.98
  5. Step 5: Solve for x
    x = 251,588.98/482.37
  6. Step 6: Final answer
    x = 521.57

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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.