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Finding the Fourth Proportional to 719.15, 991.69 and 677.29

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Solution

The fourth proportional to 719.15, 991.69 and 677.29 is: 933.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.15 : 991.69 = 677.29 : x
  2. Step 2: Convert to fraction form
    719.15/991.69 = 677.29/x
  3. Step 3: Cross multiply
    719.15x = 991.69 × 677.29
  4. Step 4: Simplify right side
    719.15x = 671,663.81
  5. Step 5: Solve for x
    x = 671,663.81/719.15
  6. Step 6: Final answer
    x = 933.97

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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.