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Finding the Fourth Proportional to 528.78, 793.17 and 514.20

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Solution

The fourth proportional to 528.78, 793.17 and 514.20 is: 771.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.78 : 793.17 = 514.20 : x
  2. Step 2: Convert to fraction form
    528.78/793.17 = 514.20/x
  3. Step 3: Cross multiply
    528.78x = 793.17 × 514.20
  4. Step 4: Simplify right side
    528.78x = 407,848.01
  5. Step 5: Solve for x
    x = 407,848.01/528.78
  6. Step 6: Final answer
    x = 771.30

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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.