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Finding the Fourth Proportional to 893.83, 1,340.52 and 345.73

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Solution

The fourth proportional to 893.83, 1,340.52 and 345.73 is: 518.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    893.83 : 1,340.52 = 345.73 : x
  2. Step 2: Convert to fraction form
    893.83/1,340.52 = 345.73/x
  3. Step 3: Cross multiply
    893.83x = 1,340.52 × 345.73
  4. Step 4: Simplify right side
    893.83x = 463,457.98
  5. Step 5: Solve for x
    x = 463,457.98/893.83
  6. Step 6: Final answer
    x = 518.51

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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.