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Finding the Fourth Proportional to 1,323.48, 1,985.31 and 398.97

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Solution

The fourth proportional to 1,323.48, 1,985.31 and 398.97 is: 598.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323.48 : 1,985.31 = 398.97 : x
  2. Step 2: Convert to fraction form
    1,323.48/1,985.31 = 398.97/x
  3. Step 3: Cross multiply
    1,323.48x = 1,985.31 × 398.97
  4. Step 4: Simplify right side
    1,323.48x = 792,079.13
  5. Step 5: Solve for x
    x = 792,079.13/1,323.48
  6. Step 6: Final answer
    x = 598.48

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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.