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Finding the Fourth Proportional to 519.72, 717.30 and 309.93

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Solution

The fourth proportional to 519.72, 717.30 and 309.93 is: 427.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.72 : 717.30 = 309.93 : x
  2. Step 2: Convert to fraction form
    519.72/717.30 = 309.93/x
  3. Step 3: Cross multiply
    519.72x = 717.30 × 309.93
  4. Step 4: Simplify right side
    519.72x = 222,312.79
  5. Step 5: Solve for x
    x = 222,312.79/519.72
  6. Step 6: Final answer
    x = 427.75

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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.