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Finding the Fourth Proportional to 751.25, 1,036.83 and 489.82

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Solution

The fourth proportional to 751.25, 1,036.83 and 489.82 is: 676.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    751.25 : 1,036.83 = 489.82 : x
  2. Step 2: Convert to fraction form
    751.25/1,036.83 = 489.82/x
  3. Step 3: Cross multiply
    751.25x = 1,036.83 × 489.82
  4. Step 4: Simplify right side
    751.25x = 507,860.07
  5. Step 5: Solve for x
    x = 507,860.07/751.25
  6. Step 6: Final answer
    x = 676.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.