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Finding the Fourth Proportional to 846.42, 1,269.80 and 298.98

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Solution

The fourth proportional to 846.42, 1,269.80 and 298.98 is: 448.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    846.42 : 1,269.80 = 298.98 : x
  2. Step 2: Convert to fraction form
    846.42/1,269.80 = 298.98/x
  3. Step 3: Cross multiply
    846.42x = 1,269.80 × 298.98
  4. Step 4: Simplify right side
    846.42x = 379,644.80
  5. Step 5: Solve for x
    x = 379,644.80/846.42
  6. Step 6: Final answer
    x = 448.53

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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.