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Finding the Fourth Proportional to 2,377.30, 3,565.90 and 645.93

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Solution

The fourth proportional to 2,377.30, 3,565.90 and 645.93 is: 968.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,377.30 : 3,565.90 = 645.93 : x
  2. Step 2: Convert to fraction form
    2,377.30/3,565.90 = 645.93/x
  3. Step 3: Cross multiply
    2,377.30x = 3,565.90 × 645.93
  4. Step 4: Simplify right side
    2,377.30x = 2,303,300.73
  5. Step 5: Solve for x
    x = 2,303,300.73/2,377.30
  6. Step 6: Final answer
    x = 968.87

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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.