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Finding the Fourth Proportional to 528.16, 730.32 and 455.20

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Solution

The fourth proportional to 528.16, 730.32 and 455.20 is: 629.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.16 : 730.32 = 455.20 : x
  2. Step 2: Convert to fraction form
    528.16/730.32 = 455.20/x
  3. Step 3: Cross multiply
    528.16x = 730.32 × 455.20
  4. Step 4: Simplify right side
    528.16x = 332,441.66
  5. Step 5: Solve for x
    x = 332,441.66/528.16
  6. Step 6: Final answer
    x = 629.43

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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.