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Finding the Fourth Proportional to 1,170.05, 1,752.56 and 552.83

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Solution

The fourth proportional to 1,170.05, 1,752.56 and 552.83 is: 828.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,170.05 : 1,752.56 = 552.83 : x
  2. Step 2: Convert to fraction form
    1,170.05/1,752.56 = 552.83/x
  3. Step 3: Cross multiply
    1,170.05x = 1,752.56 × 552.83
  4. Step 4: Simplify right side
    1,170.05x = 968,864.98
  5. Step 5: Solve for x
    x = 968,864.98/1,170.05
  6. Step 6: Final answer
    x = 828.05

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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.