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Finding the Fourth Proportional to 1,010.91, 1,519.34 and 983.64

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Solution

The fourth proportional to 1,010.91, 1,519.34 and 983.64 is: 1,478.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.91 : 1,519.34 = 983.64 : x
  2. Step 2: Convert to fraction form
    1,010.91/1,519.34 = 983.64/x
  3. Step 3: Cross multiply
    1,010.91x = 1,519.34 × 983.64
  4. Step 4: Simplify right side
    1,010.91x = 1,494,483.60
  5. Step 5: Solve for x
    x = 1,494,483.60/1,010.91
  6. Step 6: Final answer
    x = 1,478.35

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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.