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Finding the Fourth Proportional to 521.41, 782.35 and 405.69

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Solution

The fourth proportional to 521.41, 782.35 and 405.69 is: 608.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.41 : 782.35 = 405.69 : x
  2. Step 2: Convert to fraction form
    521.41/782.35 = 405.69/x
  3. Step 3: Cross multiply
    521.41x = 782.35 × 405.69
  4. Step 4: Simplify right side
    521.41x = 317,391.57
  5. Step 5: Solve for x
    x = 317,391.57/521.41
  6. Step 6: Final answer
    x = 608.72

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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.