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Finding the Fourth Proportional to 1,220.32, 1,684.90 and 795.67

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Solution

The fourth proportional to 1,220.32, 1,684.90 and 795.67 is: 1,098.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.32 : 1,684.90 = 795.67 : x
  2. Step 2: Convert to fraction form
    1,220.32/1,684.90 = 795.67/x
  3. Step 3: Cross multiply
    1,220.32x = 1,684.90 × 795.67
  4. Step 4: Simplify right side
    1,220.32x = 1,340,630.64
  5. Step 5: Solve for x
    x = 1,340,630.64/1,220.32
  6. Step 6: Final answer
    x = 1,098.59

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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.