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Finding the Fourth Proportional to 722.07, 995.40 and 511.56

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Solution

The fourth proportional to 722.07, 995.40 and 511.56 is: 705.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.07 : 995.40 = 511.56 : x
  2. Step 2: Convert to fraction form
    722.07/995.40 = 511.56/x
  3. Step 3: Cross multiply
    722.07x = 995.40 × 511.56
  4. Step 4: Simplify right side
    722.07x = 509,206.82
  5. Step 5: Solve for x
    x = 509,206.82/722.07
  6. Step 6: Final answer
    x = 705.20

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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.