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Finding the Fourth Proportional to 1,658.22, 2,486.55 and 965.07

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Solution

The fourth proportional to 1,658.22, 2,486.55 and 965.07 is: 1,447.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.22 : 2,486.55 = 965.07 : x
  2. Step 2: Convert to fraction form
    1,658.22/2,486.55 = 965.07/x
  3. Step 3: Cross multiply
    1,658.22x = 2,486.55 × 965.07
  4. Step 4: Simplify right side
    1,658.22x = 2,399,694.81
  5. Step 5: Solve for x
    x = 2,399,694.81/1,658.22
  6. Step 6: Final answer
    x = 1,447.15

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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.