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Finding the Fourth Proportional to 623.85, 934.61 and 521.79

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Solution

The fourth proportional to 623.85, 934.61 and 521.79 is: 781.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.85 : 934.61 = 521.79 : x
  2. Step 2: Convert to fraction form
    623.85/934.61 = 521.79/x
  3. Step 3: Cross multiply
    623.85x = 934.61 × 521.79
  4. Step 4: Simplify right side
    623.85x = 487,667.54
  5. Step 5: Solve for x
    x = 487,667.54/623.85
  6. Step 6: Final answer
    x = 781.71

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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.