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Finding the Fourth Proportional to 1,102.20, 1,653.30 and 988.80

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Solution

The fourth proportional to 1,102.20, 1,653.30 and 988.80 is: 1,483.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102.20 : 1,653.30 = 988.80 : x
  2. Step 2: Convert to fraction form
    1,102.20/1,653.30 = 988.80/x
  3. Step 3: Cross multiply
    1,102.20x = 1,653.30 × 988.80
  4. Step 4: Simplify right side
    1,102.20x = 1,634,783.04
  5. Step 5: Solve for x
    x = 1,634,783.04/1,102.20
  6. Step 6: Final answer
    x = 1,483.20

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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.