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Finding the Fourth Proportional to 1,678.45, 2,517.67 and 638.21

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Solution

The fourth proportional to 1,678.45, 2,517.67 and 638.21 is: 957.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678.45 : 2,517.67 = 638.21 : x
  2. Step 2: Convert to fraction form
    1,678.45/2,517.67 = 638.21/x
  3. Step 3: Cross multiply
    1,678.45x = 2,517.67 × 638.21
  4. Step 4: Simplify right side
    1,678.45x = 1,606,804.17
  5. Step 5: Solve for x
    x = 1,606,804.17/1,678.45
  6. Step 6: Final answer
    x = 957.32

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1.5x scale

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.