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Finding the Fourth Proportional to 620.25, 857.16 and 554.64

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Solution

The fourth proportional to 620.25, 857.16 and 554.64 is: 766.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.25 : 857.16 = 554.64 : x
  2. Step 2: Convert to fraction form
    620.25/857.16 = 554.64/x
  3. Step 3: Cross multiply
    620.25x = 857.16 × 554.64
  4. Step 4: Simplify right side
    620.25x = 475,415.22
  5. Step 5: Solve for x
    x = 475,415.22/620.25
  6. Step 6: Final answer
    x = 766.49

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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.