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Finding the Fourth Proportional to 1,253.47, 1,880.25 and 635.44

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Solution

The fourth proportional to 1,253.47, 1,880.25 and 635.44 is: 953.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,253.47 : 1,880.25 = 635.44 : x
  2. Step 2: Convert to fraction form
    1,253.47/1,880.25 = 635.44/x
  3. Step 3: Cross multiply
    1,253.47x = 1,880.25 × 635.44
  4. Step 4: Simplify right side
    1,253.47x = 1,194,786.06
  5. Step 5: Solve for x
    x = 1,194,786.06/1,253.47
  6. Step 6: Final answer
    x = 953.18

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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.