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Finding the Fourth Proportional to 854.35, 1,281.52 and 298.99

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Solution

The fourth proportional to 854.35, 1,281.52 and 298.99 is: 448.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    854.35 : 1,281.52 = 298.99 : x
  2. Step 2: Convert to fraction form
    854.35/1,281.52 = 298.99/x
  3. Step 3: Cross multiply
    854.35x = 1,281.52 × 298.99
  4. Step 4: Simplify right side
    854.35x = 383,163.64
  5. Step 5: Solve for x
    x = 383,163.64/854.35
  6. Step 6: Final answer
    x = 448.49

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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.