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Finding the Fourth Proportional to 1,002.03, 1,382.12 and 653.19

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Solution

The fourth proportional to 1,002.03, 1,382.12 and 653.19 is: 900.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,002.03 : 1,382.12 = 653.19 : x
  2. Step 2: Convert to fraction form
    1,002.03/1,382.12 = 653.19/x
  3. Step 3: Cross multiply
    1,002.03x = 1,382.12 × 653.19
  4. Step 4: Simplify right side
    1,002.03x = 902,783.70
  5. Step 5: Solve for x
    x = 902,783.70/1,002.03
  6. Step 6: Final answer
    x = 900.95

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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.