Home / 1,322.23-1,983.34-348.32

Finding the Fourth Proportional to 1,322.23, 1,983.34 and 348.32

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Solution

The fourth proportional to 1,322.23, 1,983.34 and 348.32 is: 522.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,322.23 : 1,983.34 = 348.32 : x
  2. Step 2: Convert to fraction form
    1,322.23/1,983.34 = 348.32/x
  3. Step 3: Cross multiply
    1,322.23x = 1,983.34 × 348.32
  4. Step 4: Simplify right side
    1,322.23x = 690,827.07
  5. Step 5: Solve for x
    x = 690,827.07/1,322.23
  6. Step 6: Final answer
    x = 522.47

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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.