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Finding the Fourth Proportional to 719.46, 992.80 and 453.94

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Solution

The fourth proportional to 719.46, 992.80 and 453.94 is: 626.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    719.46 : 992.80 = 453.94 : x
  2. Step 2: Convert to fraction form
    719.46/992.80 = 453.94/x
  3. Step 3: Cross multiply
    719.46x = 992.80 × 453.94
  4. Step 4: Simplify right side
    719.46x = 450,671.63
  5. Step 5: Solve for x
    x = 450,671.63/719.46
  6. Step 6: Final answer
    x = 626.40

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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.