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Finding the Fourth Proportional to 625.67, 936.47 and 461.07

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Solution

The fourth proportional to 625.67, 936.47 and 461.07 is: 690.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.67 : 936.47 = 461.07 : x
  2. Step 2: Convert to fraction form
    625.67/936.47 = 461.07/x
  3. Step 3: Cross multiply
    625.67x = 936.47 × 461.07
  4. Step 4: Simplify right side
    625.67x = 431,775.92
  5. Step 5: Solve for x
    x = 431,775.92/625.67
  6. Step 6: Final answer
    x = 690.10

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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.