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Finding the Fourth Proportional to 519.68, 780.36 and 446.72

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Solution

The fourth proportional to 519.68, 780.36 and 446.72 is: 670.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.68 : 780.36 = 446.72 : x
  2. Step 2: Convert to fraction form
    519.68/780.36 = 446.72/x
  3. Step 3: Cross multiply
    519.68x = 780.36 × 446.72
  4. Step 4: Simplify right side
    519.68x = 348,602.42
  5. Step 5: Solve for x
    x = 348,602.42/519.68
  6. Step 6: Final answer
    x = 670.80

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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.