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Finding the Fourth Proportional to 931.96, 1,285.87 and 745.83

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Solution

The fourth proportional to 931.96, 1,285.87 and 745.83 is: 1,029.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.96 : 1,285.87 = 745.83 : x
  2. Step 2: Convert to fraction form
    931.96/1,285.87 = 745.83/x
  3. Step 3: Cross multiply
    931.96x = 1,285.87 × 745.83
  4. Step 4: Simplify right side
    931.96x = 959,038.56
  5. Step 5: Solve for x
    x = 959,038.56/931.96
  6. Step 6: Final answer
    x = 1,029.05

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.