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Finding the Fourth Proportional to 528.11, 728.91 and 423.89

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Solution

The fourth proportional to 528.11, 728.91 and 423.89 is: 585.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.11 : 728.91 = 423.89 : x
  2. Step 2: Convert to fraction form
    528.11/728.91 = 423.89/x
  3. Step 3: Cross multiply
    528.11x = 728.91 × 423.89
  4. Step 4: Simplify right side
    528.11x = 308,977.66
  5. Step 5: Solve for x
    x = 308,977.66/528.11
  6. Step 6: Final answer
    x = 585.06

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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.