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Finding the Fourth Proportional to 1,770.36, 2,654.33 and 902.85

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Solution

The fourth proportional to 1,770.36, 2,654.33 and 902.85 is: 1,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,770.36 : 2,654.33 = 902.85 : x
  2. Step 2: Convert to fraction form
    1,770.36/2,654.33 = 902.85/x
  3. Step 3: Cross multiply
    1,770.36x = 2,654.33 × 902.85
  4. Step 4: Simplify right side
    1,770.36x = 2,396,457.33
  5. Step 5: Solve for x
    x = 2,396,457.33/1,770.36
  6. Step 6: Final answer
    x = 1,353.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.