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Finding the Fourth Proportional to 519.79, 717.26 and 307.10

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Solution

The fourth proportional to 519.79, 717.26 and 307.10 is: 423.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.79 : 717.26 = 307.10 : x
  2. Step 2: Convert to fraction form
    519.79/717.26 = 307.10/x
  3. Step 3: Cross multiply
    519.79x = 717.26 × 307.10
  4. Step 4: Simplify right side
    519.79x = 220,265.42
  5. Step 5: Solve for x
    x = 220,265.42/519.79
  6. Step 6: Final answer
    x = 423.76

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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.