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Finding the Fourth Proportional to 537.68, 810.44 and 489.08

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Solution

The fourth proportional to 537.68, 810.44 and 489.08 is: 737.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.68 : 810.44 = 489.08 : x
  2. Step 2: Convert to fraction form
    537.68/810.44 = 489.08/x
  3. Step 3: Cross multiply
    537.68x = 810.44 × 489.08
  4. Step 4: Simplify right side
    537.68x = 396,370.00
  5. Step 5: Solve for x
    x = 396,370.00/537.68
  6. Step 6: Final answer
    x = 737.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.