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Finding the Fourth Proportional to 719.11, 1,070.05 and 716.68

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Solution

The fourth proportional to 719.11, 1,070.05 and 716.68 is: 1,066.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.11 : 1,070.05 = 716.68 : x
  2. Step 2: Convert to fraction form
    719.11/1,070.05 = 716.68/x
  3. Step 3: Cross multiply
    719.11x = 1,070.05 × 716.68
  4. Step 4: Simplify right side
    719.11x = 766,883.43
  5. Step 5: Solve for x
    x = 766,883.43/719.11
  6. Step 6: Final answer
    x = 1,066.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.