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Finding the Fourth Proportional to 1,785.27, 2,678.23 and 615.40

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Solution

The fourth proportional to 1,785.27, 2,678.23 and 615.40 is: 923.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.27 : 2,678.23 = 615.40 : x
  2. Step 2: Convert to fraction form
    1,785.27/2,678.23 = 615.40/x
  3. Step 3: Cross multiply
    1,785.27x = 2,678.23 × 615.40
  4. Step 4: Simplify right side
    1,785.27x = 1,648,184.55
  5. Step 5: Solve for x
    x = 1,648,184.55/1,785.27
  6. Step 6: Final answer
    x = 923.21

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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.