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Finding the Fourth Proportional to 706.82, 975.35 and 519.99

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Solution

The fourth proportional to 706.82, 975.35 and 519.99 is: 717.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    706.82 : 975.35 = 519.99 : x
  2. Step 2: Convert to fraction form
    706.82/975.35 = 519.99/x
  3. Step 3: Cross multiply
    706.82x = 975.35 × 519.99
  4. Step 4: Simplify right side
    706.82x = 507,172.25
  5. Step 5: Solve for x
    x = 507,172.25/706.82
  6. Step 6: Final answer
    x = 717.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.