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Finding the Fourth Proportional to 461.68, 690.90 and 401.02

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Solution

The fourth proportional to 461.68, 690.90 and 401.02 is: 600.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.68 : 690.90 = 401.02 : x
  2. Step 2: Convert to fraction form
    461.68/690.90 = 401.02/x
  3. Step 3: Cross multiply
    461.68x = 690.90 × 401.02
  4. Step 4: Simplify right side
    461.68x = 277,064.72
  5. Step 5: Solve for x
    x = 277,064.72/461.68
  6. Step 6: Final answer
    x = 600.12

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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.