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Finding the Fourth Proportional to 1,254.71, 1,880.49 and 638.57

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Solution

The fourth proportional to 1,254.71, 1,880.49 and 638.57 is: 957.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,254.71 : 1,880.49 = 638.57 : x
  2. Step 2: Convert to fraction form
    1,254.71/1,880.49 = 638.57/x
  3. Step 3: Cross multiply
    1,254.71x = 1,880.49 × 638.57
  4. Step 4: Simplify right side
    1,254.71x = 1,200,824.50
  5. Step 5: Solve for x
    x = 1,200,824.50/1,254.71
  6. Step 6: Final answer
    x = 957.05

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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.