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Finding the Fourth Proportional to 1,643.59, 2,465.75 and 489.43

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Solution

The fourth proportional to 1,643.59, 2,465.75 and 489.43 is: 734.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,643.59 : 2,465.75 = 489.43 : x
  2. Step 2: Convert to fraction form
    1,643.59/2,465.75 = 489.43/x
  3. Step 3: Cross multiply
    1,643.59x = 2,465.75 × 489.43
  4. Step 4: Simplify right side
    1,643.59x = 1,206,812.02
  5. Step 5: Solve for x
    x = 1,206,812.02/1,643.59
  6. Step 6: Final answer
    x = 734.25

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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.