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Finding the Fourth Proportional to 519.90, 712.71 and 510.60

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Solution

The fourth proportional to 519.90, 712.71 and 510.60 is: 699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.90 : 712.71 = 510.60 : x
  2. Step 2: Convert to fraction form
    519.90/712.71 = 510.60/x
  3. Step 3: Cross multiply
    519.90x = 712.71 × 510.60
  4. Step 4: Simplify right side
    519.90x = 363,909.73
  5. Step 5: Solve for x
    x = 363,909.73/519.90
  6. Step 6: Final answer
    x = 699.96

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.