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Finding the Fourth Proportional to 517.70, 777.36 and 409.98

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Solution

The fourth proportional to 517.70, 777.36 and 409.98 is: 615.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.70 : 777.36 = 409.98 : x
  2. Step 2: Convert to fraction form
    517.70/777.36 = 409.98/x
  3. Step 3: Cross multiply
    517.70x = 777.36 × 409.98
  4. Step 4: Simplify right side
    517.70x = 318,702.05
  5. Step 5: Solve for x
    x = 318,702.05/517.70
  6. Step 6: Final answer
    x = 615.61

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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.