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Finding the Fourth Proportional to 1,493.49, 2,059.80 and 1,020.88

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Solution

The fourth proportional to 1,493.49, 2,059.80 and 1,020.88 is: 1,407.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,493.49 : 2,059.80 = 1,020.88 : x
  2. Step 2: Convert to fraction form
    1,493.49/2,059.80 = 1,020.88/x
  3. Step 3: Cross multiply
    1,493.49x = 2,059.80 × 1,020.88
  4. Step 4: Simplify right side
    1,493.49x = 2,102,808.62
  5. Step 5: Solve for x
    x = 2,102,808.62/1,493.49
  6. Step 6: Final answer
    x = 1,407.98

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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.