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Finding the Fourth Proportional to 566.60, 854.09 and 519.80

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Solution

The fourth proportional to 566.60, 854.09 and 519.80 is: 783.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.60 : 854.09 = 519.80 : x
  2. Step 2: Convert to fraction form
    566.60/854.09 = 519.80/x
  3. Step 3: Cross multiply
    566.60x = 854.09 × 519.80
  4. Step 4: Simplify right side
    566.60x = 443,955.98
  5. Step 5: Solve for x
    x = 443,955.98/566.60
  6. Step 6: Final answer
    x = 783.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.