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Finding the Fourth Proportional to 1,785.74, 2,678.42 and 615.76

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Solution

The fourth proportional to 1,785.74, 2,678.42 and 615.76 is: 923.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.74 : 2,678.42 = 615.76 : x
  2. Step 2: Convert to fraction form
    1,785.74/2,678.42 = 615.76/x
  3. Step 3: Cross multiply
    1,785.74x = 2,678.42 × 615.76
  4. Step 4: Simplify right side
    1,785.74x = 1,649,263.90
  5. Step 5: Solve for x
    x = 1,649,263.90/1,785.74
  6. Step 6: Final answer
    x = 923.57

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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.