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Finding the Fourth Proportional to 853.96, 1,175.40 and 712.48

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Solution

The fourth proportional to 853.96, 1,175.40 and 712.48 is: 980.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.96 : 1,175.40 = 712.48 : x
  2. Step 2: Convert to fraction form
    853.96/1,175.40 = 712.48/x
  3. Step 3: Cross multiply
    853.96x = 1,175.40 × 712.48
  4. Step 4: Simplify right side
    853.96x = 837,452.21
  5. Step 5: Solve for x
    x = 837,452.21/853.96
  6. Step 6: Final answer
    x = 980.67

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Double scale
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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.