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Finding the Fourth Proportional to 461.12, 689.66 and 401.18

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Solution

The fourth proportional to 461.12, 689.66 and 401.18 is: 600.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.12 : 689.66 = 401.18 : x
  2. Step 2: Convert to fraction form
    461.12/689.66 = 401.18/x
  3. Step 3: Cross multiply
    461.12x = 689.66 × 401.18
  4. Step 4: Simplify right side
    461.12x = 276,675.79
  5. Step 5: Solve for x
    x = 276,675.79/461.12
  6. Step 6: Final answer
    x = 600.01

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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.