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Finding the Fourth Proportional to 1,323.49, 1,985.31 and 349.56

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Solution

The fourth proportional to 1,323.49, 1,985.31 and 349.56 is: 524.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.49 : 1,985.31 = 349.56 : x
  2. Step 2: Convert to fraction form
    1,323.49/1,985.31 = 349.56/x
  3. Step 3: Cross multiply
    1,323.49x = 1,985.31 × 349.56
  4. Step 4: Simplify right side
    1,323.49x = 693,991.24
  5. Step 5: Solve for x
    x = 693,991.24/1,323.49
  6. Step 6: Final answer
    x = 524.37

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1.5x scale

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.