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Finding the Fourth Proportional to 1,169.39, 1,752.86 and 552.63

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Solution

The fourth proportional to 1,169.39, 1,752.86 and 552.63 is: 828.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,169.39 : 1,752.86 = 552.63 : x
  2. Step 2: Convert to fraction form
    1,169.39/1,752.86 = 552.63/x
  3. Step 3: Cross multiply
    1,169.39x = 1,752.86 × 552.63
  4. Step 4: Simplify right side
    1,169.39x = 968,684.40
  5. Step 5: Solve for x
    x = 968,684.40/1,169.39
  6. Step 6: Final answer
    x = 828.37

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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.