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Finding the Fourth Proportional to 1,730.75, 2,596.25 and 498.25

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Solution

The fourth proportional to 1,730.75, 2,596.25 and 498.25 is: 747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,730.75 : 2,596.25 = 498.25 : x
  2. Step 2: Convert to fraction form
    1,730.75/2,596.25 = 498.25/x
  3. Step 3: Cross multiply
    1,730.75x = 2,596.25 × 498.25
  4. Step 4: Simplify right side
    1,730.75x = 1,293,586.05
  5. Step 5: Solve for x
    x = 1,293,586.05/1,730.75
  6. Step 6: Final answer
    x = 747.42

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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.