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Finding the Fourth Proportional to 1,763.94, 2,646.06 and 465.39

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Solution

The fourth proportional to 1,763.94, 2,646.06 and 465.39 is: 698.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763.94 : 2,646.06 = 465.39 : x
  2. Step 2: Convert to fraction form
    1,763.94/2,646.06 = 465.39/x
  3. Step 3: Cross multiply
    1,763.94x = 2,646.06 × 465.39
  4. Step 4: Simplify right side
    1,763.94x = 1,231,449.86
  5. Step 5: Solve for x
    x = 1,231,449.86/1,763.94
  6. Step 6: Final answer
    x = 698.12

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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.