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Finding the Fourth Proportional to 1,323.36, 1,985.32 and 398.96

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Solution

The fourth proportional to 1,323.36, 1,985.32 and 398.96 is: 598.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.36 : 1,985.32 = 398.96 : x
  2. Step 2: Convert to fraction form
    1,323.36/1,985.32 = 398.96/x
  3. Step 3: Cross multiply
    1,323.36x = 1,985.32 × 398.96
  4. Step 4: Simplify right side
    1,323.36x = 792,063.27
  5. Step 5: Solve for x
    x = 792,063.27/1,323.36
  6. Step 6: Final answer
    x = 598.52

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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.