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Finding the Fourth Proportional to 1,257.98, 1,886.71 and 633.10

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Solution

The fourth proportional to 1,257.98, 1,886.71 and 633.10 is: 949.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.98 : 1,886.71 = 633.10 : x
  2. Step 2: Convert to fraction form
    1,257.98/1,886.71 = 633.10/x
  3. Step 3: Cross multiply
    1,257.98x = 1,886.71 × 633.10
  4. Step 4: Simplify right side
    1,257.98x = 1,194,463.50
  5. Step 5: Solve for x
    x = 1,194,463.50/1,257.98
  6. Step 6: Final answer
    x = 949.51

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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.