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Finding the Fourth Proportional to 1,231.94, 1,847.73 and 354.51

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Solution

The fourth proportional to 1,231.94, 1,847.73 and 354.51 is: 531.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,231.94 : 1,847.73 = 354.51 : x
  2. Step 2: Convert to fraction form
    1,231.94/1,847.73 = 354.51/x
  3. Step 3: Cross multiply
    1,231.94x = 1,847.73 × 354.51
  4. Step 4: Simplify right side
    1,231.94x = 655,038.76
  5. Step 5: Solve for x
    x = 655,038.76/1,231.94
  6. Step 6: Final answer
    x = 531.72

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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.