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Finding the Fourth Proportional to 1,047.35, 1,444.83 and 693.92

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Solution

The fourth proportional to 1,047.35, 1,444.83 and 693.92 is: 957.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,047.35 : 1,444.83 = 693.92 : x
  2. Step 2: Convert to fraction form
    1,047.35/1,444.83 = 693.92/x
  3. Step 3: Cross multiply
    1,047.35x = 1,444.83 × 693.92
  4. Step 4: Simplify right side
    1,047.35x = 1,002,596.43
  5. Step 5: Solve for x
    x = 1,002,596.43/1,047.35
  6. Step 6: Final answer
    x = 957.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.