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Finding the Fourth Proportional to 528.14, 728.37 and 341.57

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Solution

The fourth proportional to 528.14, 728.37 and 341.57 is: 471.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.14 : 728.37 = 341.57 : x
  2. Step 2: Convert to fraction form
    528.14/728.37 = 341.57/x
  3. Step 3: Cross multiply
    528.14x = 728.37 × 341.57
  4. Step 4: Simplify right side
    528.14x = 248,785.70
  5. Step 5: Solve for x
    x = 248,785.70/528.14
  6. Step 6: Final answer
    x = 471.06

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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.