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Finding the Fourth Proportional to 984.54, 1,358.23 and 653.02

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Solution

The fourth proportional to 984.54, 1,358.23 and 653.02 is: 900.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.54 : 1,358.23 = 653.02 : x
  2. Step 2: Convert to fraction form
    984.54/1,358.23 = 653.02/x
  3. Step 3: Cross multiply
    984.54x = 1,358.23 × 653.02
  4. Step 4: Simplify right side
    984.54x = 886,951.35
  5. Step 5: Solve for x
    x = 886,951.35/984.54
  6. Step 6: Final answer
    x = 900.88

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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.