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Finding the Fourth Proportional to 1,181.76, 1,630.91 and 709.67

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Solution

The fourth proportional to 1,181.76, 1,630.91 and 709.67 is: 979.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181.76 : 1,630.91 = 709.67 : x
  2. Step 2: Convert to fraction form
    1,181.76/1,630.91 = 709.67/x
  3. Step 3: Cross multiply
    1,181.76x = 1,630.91 × 709.67
  4. Step 4: Simplify right side
    1,181.76x = 1,157,407.90
  5. Step 5: Solve for x
    x = 1,157,407.90/1,181.76
  6. Step 6: Final answer
    x = 979.39

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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.