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Finding the Fourth Proportional to 1,168.41, 1,752.62 and 1,097.13

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Solution

The fourth proportional to 1,168.41, 1,752.62 and 1,097.13 is: 1,645.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,168.41 : 1,752.62 = 1,097.13 : x
  2. Step 2: Convert to fraction form
    1,168.41/1,752.62 = 1,097.13/x
  3. Step 3: Cross multiply
    1,168.41x = 1,752.62 × 1,097.13
  4. Step 4: Simplify right side
    1,168.41x = 1,922,851.98
  5. Step 5: Solve for x
    x = 1,922,851.98/1,168.41
  6. Step 6: Final answer
    x = 1,645.70

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1.5x scale

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.