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Finding the Fourth Proportional to 638.75, 957.14 and 309.33

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Solution

The fourth proportional to 638.75, 957.14 and 309.33 is: 463.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    638.75 : 957.14 = 309.33 : x
  2. Step 2: Convert to fraction form
    638.75/957.14 = 309.33/x
  3. Step 3: Cross multiply
    638.75x = 957.14 × 309.33
  4. Step 4: Simplify right side
    638.75x = 296,070.57
  5. Step 5: Solve for x
    x = 296,070.57/638.75
  6. Step 6: Final answer
    x = 463.52

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.