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Finding the Fourth Proportional to 1,018.60, 1,406.09 and 769.99

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Solution

The fourth proportional to 1,018.60, 1,406.09 and 769.99 is: 1,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.60 : 1,406.09 = 769.99 : x
  2. Step 2: Convert to fraction form
    1,018.60/1,406.09 = 769.99/x
  3. Step 3: Cross multiply
    1,018.60x = 1,406.09 × 769.99
  4. Step 4: Simplify right side
    1,018.60x = 1,082,675.24
  5. Step 5: Solve for x
    x = 1,082,675.24/1,018.60
  6. Step 6: Final answer
    x = 1,062.91

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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.