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Finding the Fourth Proportional to 1,782.60, 2,459.97 and 985.98

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Solution

The fourth proportional to 1,782.60, 2,459.97 and 985.98 is: 1,360.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.60 : 2,459.97 = 985.98 : x
  2. Step 2: Convert to fraction form
    1,782.60/2,459.97 = 985.98/x
  3. Step 3: Cross multiply
    1,782.60x = 2,459.97 × 985.98
  4. Step 4: Simplify right side
    1,782.60x = 2,425,481.22
  5. Step 5: Solve for x
    x = 2,425,481.22/1,782.60
  6. Step 6: Final answer
    x = 1,360.64

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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.