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Finding the Fourth Proportional to 519.72, 778.46 and 479.40

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Solution

The fourth proportional to 519.72, 778.46 and 479.40 is: 718.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.72 : 778.46 = 479.40 : x
  2. Step 2: Convert to fraction form
    519.72/778.46 = 479.40/x
  3. Step 3: Cross multiply
    519.72x = 778.46 × 479.40
  4. Step 4: Simplify right side
    519.72x = 373,193.72
  5. Step 5: Solve for x
    x = 373,193.72/519.72
  6. Step 6: Final answer
    x = 718.07

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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.