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Finding the Fourth Proportional to 529.38, 792.72 and 413.46

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Solution

The fourth proportional to 529.38, 792.72 and 413.46 is: 619.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.38 : 792.72 = 413.46 : x
  2. Step 2: Convert to fraction form
    529.38/792.72 = 413.46/x
  3. Step 3: Cross multiply
    529.38x = 792.72 × 413.46
  4. Step 4: Simplify right side
    529.38x = 327,758.01
  5. Step 5: Solve for x
    x = 327,758.01/529.38
  6. Step 6: Final answer
    x = 619.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.