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Finding the Fourth Proportional to 624.75, 937.66 and 259.80

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Solution

The fourth proportional to 624.75, 937.66 and 259.80 is: 389.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.75 : 937.66 = 259.80 : x
  2. Step 2: Convert to fraction form
    624.75/937.66 = 259.80/x
  3. Step 3: Cross multiply
    624.75x = 937.66 × 259.80
  4. Step 4: Simplify right side
    624.75x = 243,604.07
  5. Step 5: Solve for x
    x = 243,604.07/624.75
  6. Step 6: Final answer
    x = 389.92

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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.