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Finding the Fourth Proportional to 673.71, 929.61 and 393.75

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Solution

The fourth proportional to 673.71, 929.61 and 393.75 is: 543.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.71 : 929.61 = 393.75 : x
  2. Step 2: Convert to fraction form
    673.71/929.61 = 393.75/x
  3. Step 3: Cross multiply
    673.71x = 929.61 × 393.75
  4. Step 4: Simplify right side
    673.71x = 366,033.94
  5. Step 5: Solve for x
    x = 366,033.94/673.71
  6. Step 6: Final answer
    x = 543.31

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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.