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Finding the Fourth Proportional to 1,016.94, 1,522.14 and 669.44

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Solution

The fourth proportional to 1,016.94, 1,522.14 and 669.44 is: 1,002.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,016.94 : 1,522.14 = 669.44 : x
  2. Step 2: Convert to fraction form
    1,016.94/1,522.14 = 669.44/x
  3. Step 3: Cross multiply
    1,016.94x = 1,522.14 × 669.44
  4. Step 4: Simplify right side
    1,016.94x = 1,018,981.40
  5. Step 5: Solve for x
    x = 1,018,981.40/1,016.94
  6. Step 6: Final answer
    x = 1,002.01

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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.