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Finding the Fourth Proportional to 719.19, 1,073.93 and 711.54

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Solution

The fourth proportional to 719.19, 1,073.93 and 711.54 is: 1,062.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.19 : 1,073.93 = 711.54 : x
  2. Step 2: Convert to fraction form
    719.19/1,073.93 = 711.54/x
  3. Step 3: Cross multiply
    719.19x = 1,073.93 × 711.54
  4. Step 4: Simplify right side
    719.19x = 764,140.59
  5. Step 5: Solve for x
    x = 764,140.59/719.19
  6. Step 6: Final answer
    x = 1,062.50

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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.