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Finding the Fourth Proportional to 460.30, 689.84 and 411.49

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Solution

The fourth proportional to 460.30, 689.84 and 411.49 is: 616.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.30 : 689.84 = 411.49 : x
  2. Step 2: Convert to fraction form
    460.30/689.84 = 411.49/x
  3. Step 3: Cross multiply
    460.30x = 689.84 × 411.49
  4. Step 4: Simplify right side
    460.30x = 283,860.20
  5. Step 5: Solve for x
    x = 283,860.20/460.30
  6. Step 6: Final answer
    x = 616.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.