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Finding the Fourth Proportional to 719.88, 991.62 and 564.36

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Solution

The fourth proportional to 719.88, 991.62 and 564.36 is: 777.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.88 : 991.62 = 564.36 : x
  2. Step 2: Convert to fraction form
    719.88/991.62 = 564.36/x
  3. Step 3: Cross multiply
    719.88x = 991.62 × 564.36
  4. Step 4: Simplify right side
    719.88x = 559,630.66
  5. Step 5: Solve for x
    x = 559,630.66/719.88
  6. Step 6: Final answer
    x = 777.39

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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.