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Finding the Fourth Proportional to 529.23, 730.02 and 381.69

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Solution

The fourth proportional to 529.23, 730.02 and 381.69 is: 526.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.23 : 730.02 = 381.69 : x
  2. Step 2: Convert to fraction form
    529.23/730.02 = 381.69/x
  3. Step 3: Cross multiply
    529.23x = 730.02 × 381.69
  4. Step 4: Simplify right side
    529.23x = 278,641.33
  5. Step 5: Solve for x
    x = 278,641.33/529.23
  6. Step 6: Final answer
    x = 526.50

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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.