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Finding the Fourth Proportional to 984.98, 1,359.51 and 653.96

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Solution

The fourth proportional to 984.98, 1,359.51 and 653.96 is: 902.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    984.98 : 1,359.51 = 653.96 : x
  2. Step 2: Convert to fraction form
    984.98/1,359.51 = 653.96/x
  3. Step 3: Cross multiply
    984.98x = 1,359.51 × 653.96
  4. Step 4: Simplify right side
    984.98x = 889,065.16
  5. Step 5: Solve for x
    x = 889,065.16/984.98
  6. Step 6: Final answer
    x = 902.62

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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.