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Finding the Fourth Proportional to 625.72, 937.81 and 260.14

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Solution

The fourth proportional to 625.72, 937.81 and 260.14 is: 389.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    625.72 : 937.81 = 260.14 : x
  2. Step 2: Convert to fraction form
    625.72/937.81 = 260.14/x
  3. Step 3: Cross multiply
    625.72x = 937.81 × 260.14
  4. Step 4: Simplify right side
    625.72x = 243,961.89
  5. Step 5: Solve for x
    x = 243,961.89/625.72
  6. Step 6: Final answer
    x = 389.89

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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.