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Finding the Fourth Proportional to 1,785.66, 2,678.82 and 552.99

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Solution

The fourth proportional to 1,785.66, 2,678.82 and 552.99 is: 829.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785.66 : 2,678.82 = 552.99 : x
  2. Step 2: Convert to fraction form
    1,785.66/2,678.82 = 552.99/x
  3. Step 3: Cross multiply
    1,785.66x = 2,678.82 × 552.99
  4. Step 4: Simplify right side
    1,785.66x = 1,481,360.67
  5. Step 5: Solve for x
    x = 1,481,360.67/1,785.66
  6. Step 6: Final answer
    x = 829.59

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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.