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Finding the Fourth Proportional to 541.89, 811.82 and 460.49

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Solution

The fourth proportional to 541.89, 811.82 and 460.49 is: 689.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.89 : 811.82 = 460.49 : x
  2. Step 2: Convert to fraction form
    541.89/811.82 = 460.49/x
  3. Step 3: Cross multiply
    541.89x = 811.82 × 460.49
  4. Step 4: Simplify right side
    541.89x = 373,832.08
  5. Step 5: Solve for x
    x = 373,832.08/541.89
  6. Step 6: Final answer
    x = 689.87

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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.