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Finding the Fourth Proportional to 528.78, 730.38 and 466.83

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Solution

The fourth proportional to 528.78, 730.38 and 466.83 is: 644.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.78 : 730.38 = 466.83 : x
  2. Step 2: Convert to fraction form
    528.78/730.38 = 466.83/x
  3. Step 3: Cross multiply
    528.78x = 730.38 × 466.83
  4. Step 4: Simplify right side
    528.78x = 340,963.30
  5. Step 5: Solve for x
    x = 340,963.30/528.78
  6. Step 6: Final answer
    x = 644.81

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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.