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Finding the Fourth Proportional to 1,785.50, 2,677.87 and 552.68

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Solution

The fourth proportional to 1,785.50, 2,677.87 and 552.68 is: 828.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.50 : 2,677.87 = 552.68 : x
  2. Step 2: Convert to fraction form
    1,785.50/2,677.87 = 552.68/x
  3. Step 3: Cross multiply
    1,785.50x = 2,677.87 × 552.68
  4. Step 4: Simplify right side
    1,785.50x = 1,480,005.19
  5. Step 5: Solve for x
    x = 1,480,005.19/1,785.50
  6. Step 6: Final answer
    x = 828.90

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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.