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Finding the Fourth Proportional to 715.98, 988.22 and 577.02

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Solution

The fourth proportional to 715.98, 988.22 and 577.02 is: 796.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.98 : 988.22 = 577.02 : x
  2. Step 2: Convert to fraction form
    715.98/988.22 = 577.02/x
  3. Step 3: Cross multiply
    715.98x = 988.22 × 577.02
  4. Step 4: Simplify right side
    715.98x = 570,219.82
  5. Step 5: Solve for x
    x = 570,219.82/715.98
  6. Step 6: Final answer
    x = 796.42

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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.