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Finding the Fourth Proportional to 1,310.75, 1,965.89 and 373.76

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Solution

The fourth proportional to 1,310.75, 1,965.89 and 373.76 is: 560.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,310.75 : 1,965.89 = 373.76 : x
  2. Step 2: Convert to fraction form
    1,310.75/1,965.89 = 373.76/x
  3. Step 3: Cross multiply
    1,310.75x = 1,965.89 × 373.76
  4. Step 4: Simplify right side
    1,310.75x = 734,759.35
  5. Step 5: Solve for x
    x = 734,759.35/1,310.75
  6. Step 6: Final answer
    x = 560.57

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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.