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Finding the Fourth Proportional to 1,257.44, 1,885.71 and 435.50

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Solution

The fourth proportional to 1,257.44, 1,885.71 and 435.50 is: 653.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,257.44 : 1,885.71 = 435.50 : x
  2. Step 2: Convert to fraction form
    1,257.44/1,885.71 = 435.50/x
  3. Step 3: Cross multiply
    1,257.44x = 1,885.71 × 435.50
  4. Step 4: Simplify right side
    1,257.44x = 821,217.28
  5. Step 5: Solve for x
    x = 821,217.28/1,257.44
  6. Step 6: Final answer
    x = 653.09

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Double scale
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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.