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Finding the Fourth Proportional to 620.50, 857.89 and 593.30

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Solution

The fourth proportional to 620.50, 857.89 and 593.30 is: 820.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.50 : 857.89 = 593.30 : x
  2. Step 2: Convert to fraction form
    620.50/857.89 = 593.30/x
  3. Step 3: Cross multiply
    620.50x = 857.89 × 593.30
  4. Step 4: Simplify right side
    620.50x = 508,986.14
  5. Step 5: Solve for x
    x = 508,986.14/620.50
  6. Step 6: Final answer
    x = 820.28

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.