Home / 1,323.50-1,985.24-399.06

Finding the Fourth Proportional to 1,323.50, 1,985.24 and 399.06

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Solution

The fourth proportional to 1,323.50, 1,985.24 and 399.06 is: 598.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.50 : 1,985.24 = 399.06 : x
  2. Step 2: Convert to fraction form
    1,323.50/1,985.24 = 399.06/x
  3. Step 3: Cross multiply
    1,323.50x = 1,985.24 × 399.06
  4. Step 4: Simplify right side
    1,323.50x = 792,229.87
  5. Step 5: Solve for x
    x = 792,229.87/1,323.50
  6. Step 6: Final answer
    x = 598.59

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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.