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Finding the Fourth Proportional to 1,237.06, 1,856.67 and 804.70

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Solution

The fourth proportional to 1,237.06, 1,856.67 and 804.70 is: 1,207.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.06 : 1,856.67 = 804.70 : x
  2. Step 2: Convert to fraction form
    1,237.06/1,856.67 = 804.70/x
  3. Step 3: Cross multiply
    1,237.06x = 1,856.67 × 804.70
  4. Step 4: Simplify right side
    1,237.06x = 1,494,062.35
  5. Step 5: Solve for x
    x = 1,494,062.35/1,237.06
  6. Step 6: Final answer
    x = 1,207.75

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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.