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Finding the Fourth Proportional to 519.85, 717.54 and 307.36

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Solution

The fourth proportional to 519.85, 717.54 and 307.36 is: 424.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.85 : 717.54 = 307.36 : x
  2. Step 2: Convert to fraction form
    519.85/717.54 = 307.36/x
  3. Step 3: Cross multiply
    519.85x = 717.54 × 307.36
  4. Step 4: Simplify right side
    519.85x = 220,540.53
  5. Step 5: Solve for x
    x = 220,540.53/519.85
  6. Step 6: Final answer
    x = 424.24

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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.