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Finding the Fourth Proportional to 1,856.55, 2,784.73 and 623.97

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Solution

The fourth proportional to 1,856.55, 2,784.73 and 623.97 is: 935.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,856.55 : 2,784.73 = 623.97 : x
  2. Step 2: Convert to fraction form
    1,856.55/2,784.73 = 623.97/x
  3. Step 3: Cross multiply
    1,856.55x = 2,784.73 × 623.97
  4. Step 4: Simplify right side
    1,856.55x = 1,737,587.98
  5. Step 5: Solve for x
    x = 1,737,587.98/1,856.55
  6. Step 6: Final answer
    x = 935.92

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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.