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Finding the Fourth Proportional to 673.18, 929.49 and 411.55

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Solution

The fourth proportional to 673.18, 929.49 and 411.55 is: 568.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    673.18 : 929.49 = 411.55 : x
  2. Step 2: Convert to fraction form
    673.18/929.49 = 411.55/x
  3. Step 3: Cross multiply
    673.18x = 929.49 × 411.55
  4. Step 4: Simplify right side
    673.18x = 382,531.61
  5. Step 5: Solve for x
    x = 382,531.61/673.18
  6. Step 6: Final answer
    x = 568.25

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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.