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Finding the Fourth Proportional to 625.08, 936.40 and 460.25

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Solution

The fourth proportional to 625.08, 936.40 and 460.25 is: 689.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.08 : 936.40 = 460.25 : x
  2. Step 2: Convert to fraction form
    625.08/936.40 = 460.25/x
  3. Step 3: Cross multiply
    625.08x = 936.40 × 460.25
  4. Step 4: Simplify right side
    625.08x = 430,978.10
  5. Step 5: Solve for x
    x = 430,978.10/625.08
  6. Step 6: Final answer
    x = 689.48

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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.