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Finding the Fourth Proportional to 1,069, 1,474.41 and 737.98

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Solution

The fourth proportional to 1,069, 1,474.41 and 737.98 is: 1,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,069 : 1,474.41 = 737.98 : x
  2. Step 2: Convert to fraction form
    1,069/1,474.41 = 737.98/x
  3. Step 3: Cross multiply
    1,069x = 1,474.41 × 737.98
  4. Step 4: Simplify right side
    1,069x = 1,088,085.09
  5. Step 5: Solve for x
    x = 1,088,085.09/1,069
  6. Step 6: Final answer
    x = 1,017.85

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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.