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Finding the Fourth Proportional to 722.46, 995.93 and 511.99

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Solution

The fourth proportional to 722.46, 995.93 and 511.99 is: 705.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.46 : 995.93 = 511.99 : x
  2. Step 2: Convert to fraction form
    722.46/995.93 = 511.99/x
  3. Step 3: Cross multiply
    722.46x = 995.93 × 511.99
  4. Step 4: Simplify right side
    722.46x = 509,901.22
  5. Step 5: Solve for x
    x = 509,901.22/722.46
  6. Step 6: Final answer
    x = 705.78

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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.