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Finding the Fourth Proportional to 1,146.57, 1,716.81 and 598.61

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Solution

The fourth proportional to 1,146.57, 1,716.81 and 598.61 is: 896.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.57 : 1,716.81 = 598.61 : x
  2. Step 2: Convert to fraction form
    1,146.57/1,716.81 = 598.61/x
  3. Step 3: Cross multiply
    1,146.57x = 1,716.81 × 598.61
  4. Step 4: Simplify right side
    1,146.57x = 1,027,691.05
  5. Step 5: Solve for x
    x = 1,027,691.05/1,146.57
  6. Step 6: Final answer
    x = 896.32

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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.