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Finding the Fourth Proportional to 620.64, 860.38 and 588.94

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Solution

The fourth proportional to 620.64, 860.38 and 588.94 is: 816.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    620.64 : 860.38 = 588.94 : x
  2. Step 2: Convert to fraction form
    620.64/860.38 = 588.94/x
  3. Step 3: Cross multiply
    620.64x = 860.38 × 588.94
  4. Step 4: Simplify right side
    620.64x = 506,708.57
  5. Step 5: Solve for x
    x = 506,708.57/620.64
  6. Step 6: Final answer
    x = 816.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.