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Finding the Fourth Proportional to 643.56, 957.75 and 620.52

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Solution

The fourth proportional to 643.56, 957.75 and 620.52 is: 923.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    643.56 : 957.75 = 620.52 : x
  2. Step 2: Convert to fraction form
    643.56/957.75 = 620.52/x
  3. Step 3: Cross multiply
    643.56x = 957.75 × 620.52
  4. Step 4: Simplify right side
    643.56x = 594,303.03
  5. Step 5: Solve for x
    x = 594,303.03/643.56
  6. Step 6: Final answer
    x = 923.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.