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Finding the Fourth Proportional to 461.80, 689.99 and 379.59

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Solution

The fourth proportional to 461.80, 689.99 and 379.59 is: 567.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.80 : 689.99 = 379.59 : x
  2. Step 2: Convert to fraction form
    461.80/689.99 = 379.59/x
  3. Step 3: Cross multiply
    461.80x = 689.99 × 379.59
  4. Step 4: Simplify right side
    461.80x = 261,913.30
  5. Step 5: Solve for x
    x = 261,913.30/461.80
  6. Step 6: Final answer
    x = 567.16

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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.