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Finding the Fourth Proportional to 528.42, 729.59 and 381.10

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Solution

The fourth proportional to 528.42, 729.59 and 381.10 is: 526.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    528.42 : 729.59 = 381.10 : x
  2. Step 2: Convert to fraction form
    528.42/729.59 = 381.10/x
  3. Step 3: Cross multiply
    528.42x = 729.59 × 381.10
  4. Step 4: Simplify right side
    528.42x = 278,046.75
  5. Step 5: Solve for x
    x = 278,046.75/528.42
  6. Step 6: Final answer
    x = 526.19

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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.