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Finding the Fourth Proportional to 580.94, 801.32 and 381.78

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Solution

The fourth proportional to 580.94, 801.32 and 381.78 is: 526.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    580.94 : 801.32 = 381.78 : x
  2. Step 2: Convert to fraction form
    580.94/801.32 = 381.78/x
  3. Step 3: Cross multiply
    580.94x = 801.32 × 381.78
  4. Step 4: Simplify right side
    580.94x = 305,927.95
  5. Step 5: Solve for x
    x = 305,927.95/580.94
  6. Step 6: Final answer
    x = 526.61

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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.