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Finding the Fourth Proportional to 1,257.77, 1,885.29 and 640.63

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Solution

The fourth proportional to 1,257.77, 1,885.29 and 640.63 is: 960.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.77 : 1,885.29 = 640.63 : x
  2. Step 2: Convert to fraction form
    1,257.77/1,885.29 = 640.63/x
  3. Step 3: Cross multiply
    1,257.77x = 1,885.29 × 640.63
  4. Step 4: Simplify right side
    1,257.77x = 1,207,773.33
  5. Step 5: Solve for x
    x = 1,207,773.33/1,257.77
  6. Step 6: Final answer
    x = 960.25

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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.