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Finding the Fourth Proportional to 519.90, 779.06 and 410.34

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Solution

The fourth proportional to 519.90, 779.06 and 410.34 is: 614.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.90 : 779.06 = 410.34 : x
  2. Step 2: Convert to fraction form
    519.90/779.06 = 410.34/x
  3. Step 3: Cross multiply
    519.90x = 779.06 × 410.34
  4. Step 4: Simplify right side
    519.90x = 319,679.48
  5. Step 5: Solve for x
    x = 319,679.48/519.90
  6. Step 6: Final answer
    x = 614.89

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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.