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Finding the Fourth Proportional to 722.55, 998.14 and 575.00

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Solution

The fourth proportional to 722.55, 998.14 and 575.00 is: 794.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.55 : 998.14 = 575.00 : x
  2. Step 2: Convert to fraction form
    722.55/998.14 = 575.00/x
  3. Step 3: Cross multiply
    722.55x = 998.14 × 575.00
  4. Step 4: Simplify right side
    722.55x = 573,928.64
  5. Step 5: Solve for x
    x = 573,928.64/722.55
  6. Step 6: Final answer
    x = 794.31

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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.