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Finding the Fourth Proportional to 2,320.32, 3,480.58 and 858.68

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Solution

The fourth proportional to 2,320.32, 3,480.58 and 858.68 is: 1,288.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.32 : 3,480.58 = 858.68 : x
  2. Step 2: Convert to fraction form
    2,320.32/3,480.58 = 858.68/x
  3. Step 3: Cross multiply
    2,320.32x = 3,480.58 × 858.68
  4. Step 4: Simplify right side
    2,320.32x = 2,988,704.43
  5. Step 5: Solve for x
    x = 2,988,704.43/2,320.32
  6. Step 6: Final answer
    x = 1,288.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.