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Finding the Fourth Proportional to 1,237.73, 1,856.29 and 415.99

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Solution

The fourth proportional to 1,237.73, 1,856.29 and 415.99 is: 623.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,237.73 : 1,856.29 = 415.99 : x
  2. Step 2: Convert to fraction form
    1,237.73/1,856.29 = 415.99/x
  3. Step 3: Cross multiply
    1,237.73x = 1,856.29 × 415.99
  4. Step 4: Simplify right side
    1,237.73x = 772,190.87
  5. Step 5: Solve for x
    x = 772,190.87/1,237.73
  6. Step 6: Final answer
    x = 623.88

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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.