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Finding the Fourth Proportional to 528.78, 728.94 and 342.20

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Solution

The fourth proportional to 528.78, 728.94 and 342.20 is: 471.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.78 : 728.94 = 342.20 : x
  2. Step 2: Convert to fraction form
    528.78/728.94 = 342.20/x
  3. Step 3: Cross multiply
    528.78x = 728.94 × 342.20
  4. Step 4: Simplify right side
    528.78x = 249,439.62
  5. Step 5: Solve for x
    x = 249,439.62/528.78
  6. Step 6: Final answer
    x = 471.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.