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Finding the Fourth Proportional to 1,098.28, 1,643.10 and 988.84

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Solution

The fourth proportional to 1,098.28, 1,643.10 and 988.84 is: 1,479.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,098.28 : 1,643.10 = 988.84 : x
  2. Step 2: Convert to fraction form
    1,098.28/1,643.10 = 988.84/x
  3. Step 3: Cross multiply
    1,098.28x = 1,643.10 × 988.84
  4. Step 4: Simplify right side
    1,098.28x = 1,624,763.00
  5. Step 5: Solve for x
    x = 1,624,763.00/1,098.28
  6. Step 6: Final answer
    x = 1,479.37

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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.