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Finding the Fourth Proportional to 620.98, 857.07 and 411.16

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Solution

The fourth proportional to 620.98, 857.07 and 411.16 is: 567.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.98 : 857.07 = 411.16 : x
  2. Step 2: Convert to fraction form
    620.98/857.07 = 411.16/x
  3. Step 3: Cross multiply
    620.98x = 857.07 × 411.16
  4. Step 4: Simplify right side
    620.98x = 352,392.90
  5. Step 5: Solve for x
    x = 352,392.90/620.98
  6. Step 6: Final answer
    x = 567.48

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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.