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Finding the Fourth Proportional to 984.13, 1,357.48 and 652.43

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Solution

The fourth proportional to 984.13, 1,357.48 and 652.43 is: 899.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.13 : 1,357.48 = 652.43 : x
  2. Step 2: Convert to fraction form
    984.13/1,357.48 = 652.43/x
  3. Step 3: Cross multiply
    984.13x = 1,357.48 × 652.43
  4. Step 4: Simplify right side
    984.13x = 885,660.68
  5. Step 5: Solve for x
    x = 885,660.68/984.13
  6. Step 6: Final answer
    x = 899.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.