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Finding the Fourth Proportional to 2,317.28, 3,475.90 and 778.28

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Solution

The fourth proportional to 2,317.28, 3,475.90 and 778.28 is: 1,167.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,317.28 : 3,475.90 = 778.28 : x
  2. Step 2: Convert to fraction form
    2,317.28/3,475.90 = 778.28/x
  3. Step 3: Cross multiply
    2,317.28x = 3,475.90 × 778.28
  4. Step 4: Simplify right side
    2,317.28x = 2,705,207.05
  5. Step 5: Solve for x
    x = 2,705,207.05/2,317.28
  6. Step 6: Final answer
    x = 1,167.41

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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.