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Finding the Fourth Proportional to 911.39, 1,257.60 and 513.08

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Solution

The fourth proportional to 911.39, 1,257.60 and 513.08 is: 707.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    911.39 : 1,257.60 = 513.08 : x
  2. Step 2: Convert to fraction form
    911.39/1,257.60 = 513.08/x
  3. Step 3: Cross multiply
    911.39x = 1,257.60 × 513.08
  4. Step 4: Simplify right side
    911.39x = 645,249.41
  5. Step 5: Solve for x
    x = 645,249.41/911.39
  6. Step 6: Final answer
    x = 707.98

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.