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Finding the Fourth Proportional to 1,173.43, 1,618.14 and 873.34

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Solution

The fourth proportional to 1,173.43, 1,618.14 and 873.34 is: 1,204.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,173.43 : 1,618.14 = 873.34 : x
  2. Step 2: Convert to fraction form
    1,173.43/1,618.14 = 873.34/x
  3. Step 3: Cross multiply
    1,173.43x = 1,618.14 × 873.34
  4. Step 4: Simplify right side
    1,173.43x = 1,413,186.39
  5. Step 5: Solve for x
    x = 1,413,186.39/1,173.43
  6. Step 6: Final answer
    x = 1,204.32

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.