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Finding the Fourth Proportional to 1,256.82, 1,885.57 and 607.55

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Solution

The fourth proportional to 1,256.82, 1,885.57 and 607.55 is: 911.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256.82 : 1,885.57 = 607.55 : x
  2. Step 2: Convert to fraction form
    1,256.82/1,885.57 = 607.55/x
  3. Step 3: Cross multiply
    1,256.82x = 1,885.57 × 607.55
  4. Step 4: Simplify right side
    1,256.82x = 1,145,578.05
  5. Step 5: Solve for x
    x = 1,145,578.05/1,256.82
  6. Step 6: Final answer
    x = 911.49

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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.