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Finding the Fourth Proportional to 1,204.76, 1,661.68 and 873.67

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Solution

The fourth proportional to 1,204.76, 1,661.68 and 873.67 is: 1,205.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,204.76 : 1,661.68 = 873.67 : x
  2. Step 2: Convert to fraction form
    1,204.76/1,661.68 = 873.67/x
  3. Step 3: Cross multiply
    1,204.76x = 1,661.68 × 873.67
  4. Step 4: Simplify right side
    1,204.76x = 1,451,759.97
  5. Step 5: Solve for x
    x = 1,451,759.97/1,204.76
  6. Step 6: Final answer
    x = 1,205.02

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Find fourth proportional to 602.38, 830.84 and 436.84
Half scale
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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.