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Finding the Fourth Proportional to 528.84, 792.63 and 254.67

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Solution

The fourth proportional to 528.84, 792.63 and 254.67 is: 381.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.84 : 792.63 = 254.67 : x
  2. Step 2: Convert to fraction form
    528.84/792.63 = 254.67/x
  3. Step 3: Cross multiply
    528.84x = 792.63 × 254.67
  4. Step 4: Simplify right side
    528.84x = 201,859.08
  5. Step 5: Solve for x
    x = 201,859.08/528.84
  6. Step 6: Final answer
    x = 381.70

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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.