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Finding the Fourth Proportional to 519.70, 717.35 and 310.03

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Solution

The fourth proportional to 519.70, 717.35 and 310.03 is: 427.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.70 : 717.35 = 310.03 : x
  2. Step 2: Convert to fraction form
    519.70/717.35 = 310.03/x
  3. Step 3: Cross multiply
    519.70x = 717.35 × 310.03
  4. Step 4: Simplify right side
    519.70x = 222,400.02
  5. Step 5: Solve for x
    x = 222,400.02/519.70
  6. Step 6: Final answer
    x = 427.94

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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.