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Finding the Fourth Proportional to 1,785.53, 2,678.02 and 615.35

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Solution

The fourth proportional to 1,785.53, 2,678.02 and 615.35 is: 922.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.53 : 2,678.02 = 615.35 : x
  2. Step 2: Convert to fraction form
    1,785.53/2,678.02 = 615.35/x
  3. Step 3: Cross multiply
    1,785.53x = 2,678.02 × 615.35
  4. Step 4: Simplify right side
    1,785.53x = 1,647,919.61
  5. Step 5: Solve for x
    x = 1,647,919.61/1,785.53
  6. Step 6: Final answer
    x = 922.93

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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.