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Finding the Fourth Proportional to 673.74, 929.73 and 411.78

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Solution

The fourth proportional to 673.74, 929.73 and 411.78 is: 568.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.74 : 929.73 = 411.78 : x
  2. Step 2: Convert to fraction form
    673.74/929.73 = 411.78/x
  3. Step 3: Cross multiply
    673.74x = 929.73 × 411.78
  4. Step 4: Simplify right side
    673.74x = 382,844.22
  5. Step 5: Solve for x
    x = 382,844.22/673.74
  6. Step 6: Final answer
    x = 568.24

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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.