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Finding the Fourth Proportional to 620.85, 857.00 and 384.84

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Solution

The fourth proportional to 620.85, 857.00 and 384.84 is: 531.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.85 : 857.00 = 384.84 : x
  2. Step 2: Convert to fraction form
    620.85/857.00 = 384.84/x
  3. Step 3: Cross multiply
    620.85x = 857.00 × 384.84
  4. Step 4: Simplify right side
    620.85x = 329,801.67
  5. Step 5: Solve for x
    x = 329,801.67/620.85
  6. Step 6: Final answer
    x = 531.21

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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.