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Finding the Fourth Proportional to 1,117.14, 1,540.77 and 723.48

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Solution

The fourth proportional to 1,117.14, 1,540.77 and 723.48 is: 997.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,117.14 : 1,540.77 = 723.48 : x
  2. Step 2: Convert to fraction form
    1,117.14/1,540.77 = 723.48/x
  3. Step 3: Cross multiply
    1,117.14x = 1,540.77 × 723.48
  4. Step 4: Simplify right side
    1,117.14x = 1,114,716.28
  5. Step 5: Solve for x
    x = 1,114,716.28/1,117.14
  6. Step 6: Final answer
    x = 997.83

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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.