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Finding the Fourth Proportional to 1,323.82, 1,985.63 and 336.63

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Solution

The fourth proportional to 1,323.82, 1,985.63 and 336.63 is: 504.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.82 : 1,985.63 = 336.63 : x
  2. Step 2: Convert to fraction form
    1,323.82/1,985.63 = 336.63/x
  3. Step 3: Cross multiply
    1,323.82x = 1,985.63 × 336.63
  4. Step 4: Simplify right side
    1,323.82x = 668,420.94
  5. Step 5: Solve for x
    x = 668,420.94/1,323.82
  6. Step 6: Final answer
    x = 504.92

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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.