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Finding the Fourth Proportional to 803.93, 1,109.36 and 489.34

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Solution

The fourth proportional to 803.93, 1,109.36 and 489.34 is: 675.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    803.93 : 1,109.36 = 489.34 : x
  2. Step 2: Convert to fraction form
    803.93/1,109.36 = 489.34/x
  3. Step 3: Cross multiply
    803.93x = 1,109.36 × 489.34
  4. Step 4: Simplify right side
    803.93x = 542,846.23
  5. Step 5: Solve for x
    x = 542,846.23/803.93
  6. Step 6: Final answer
    x = 675.24

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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.