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Finding the Fourth Proportional to 1,782.29, 2,459.57 and 996.35

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Solution

The fourth proportional to 1,782.29, 2,459.57 and 996.35 is: 1,374.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.29 : 2,459.57 = 996.35 : x
  2. Step 2: Convert to fraction form
    1,782.29/2,459.57 = 996.35/x
  3. Step 3: Cross multiply
    1,782.29x = 2,459.57 × 996.35
  4. Step 4: Simplify right side
    1,782.29x = 2,450,575.29
  5. Step 5: Solve for x
    x = 2,450,575.29/1,782.29
  6. Step 6: Final answer
    x = 1,374.96

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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.