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Finding the Fourth Proportional to 867.37, 1,300.83 and 380.32

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Solution

The fourth proportional to 867.37, 1,300.83 and 380.32 is: 570.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.37 : 1,300.83 = 380.32 : x
  2. Step 2: Convert to fraction form
    867.37/1,300.83 = 380.32/x
  3. Step 3: Cross multiply
    867.37x = 1,300.83 × 380.32
  4. Step 4: Simplify right side
    867.37x = 494,731.67
  5. Step 5: Solve for x
    x = 494,731.67/867.37
  6. Step 6: Final answer
    x = 570.38

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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.