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Finding the Fourth Proportional to 528.79, 792.51 and 254.98

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Solution

The fourth proportional to 528.79, 792.51 and 254.98 is: 382.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.79 : 792.51 = 254.98 : x
  2. Step 2: Convert to fraction form
    528.79/792.51 = 254.98/x
  3. Step 3: Cross multiply
    528.79x = 792.51 × 254.98
  4. Step 4: Simplify right side
    528.79x = 202,074.20
  5. Step 5: Solve for x
    x = 202,074.20/528.79
  6. Step 6: Final answer
    x = 382.14

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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.