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Finding the Fourth Proportional to 528.40, 727.32 and 372.88

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Solution

The fourth proportional to 528.40, 727.32 and 372.88 is: 513.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.40 : 727.32 = 372.88 : x
  2. Step 2: Convert to fraction form
    528.40/727.32 = 372.88/x
  3. Step 3: Cross multiply
    528.40x = 727.32 × 372.88
  4. Step 4: Simplify right side
    528.40x = 271,203.08
  5. Step 5: Solve for x
    x = 271,203.08/528.40
  6. Step 6: Final answer
    x = 513.25

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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.