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Finding the Fourth Proportional to 2,377.21, 3,565.82 and 645.83

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Solution

The fourth proportional to 2,377.21, 3,565.82 and 645.83 is: 968.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.21 : 3,565.82 = 645.83 : x
  2. Step 2: Convert to fraction form
    2,377.21/3,565.82 = 645.83/x
  3. Step 3: Cross multiply
    2,377.21x = 3,565.82 × 645.83
  4. Step 4: Simplify right side
    2,377.21x = 2,302,910.30
  5. Step 5: Solve for x
    x = 2,302,910.30/2,377.21
  6. Step 6: Final answer
    x = 968.75

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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.