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Finding the Fourth Proportional to 519.12, 711.68 and 505.35

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Solution

The fourth proportional to 519.12, 711.68 and 505.35 is: 692.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    519.12 : 711.68 = 505.35 : x
  2. Step 2: Convert to fraction form
    519.12/711.68 = 505.35/x
  3. Step 3: Cross multiply
    519.12x = 711.68 × 505.35
  4. Step 4: Simplify right side
    519.12x = 359,644.96
  5. Step 5: Solve for x
    x = 359,644.96/519.12
  6. Step 6: Final answer
    x = 692.80

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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.