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Finding the Fourth Proportional to 1,022.64, 1,520.98 and 1,003.03

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Solution

The fourth proportional to 1,022.64, 1,520.98 and 1,003.03 is: 1,491.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022.64 : 1,520.98 = 1,003.03 : x
  2. Step 2: Convert to fraction form
    1,022.64/1,520.98 = 1,003.03/x
  3. Step 3: Cross multiply
    1,022.64x = 1,520.98 × 1,003.03
  4. Step 4: Simplify right side
    1,022.64x = 1,525,590.81
  5. Step 5: Solve for x
    x = 1,525,590.81/1,022.64
  6. Step 6: Final answer
    x = 1,491.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.