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Finding the Fourth Proportional to 1,146.77, 1,719.90 and 324.86

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Solution

The fourth proportional to 1,146.77, 1,719.90 and 324.86 is: 487.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,146.77 : 1,719.90 = 324.86 : x
  2. Step 2: Convert to fraction form
    1,146.77/1,719.90 = 324.86/x
  3. Step 3: Cross multiply
    1,146.77x = 1,719.90 × 324.86
  4. Step 4: Simplify right side
    1,146.77x = 558,718.11
  5. Step 5: Solve for x
    x = 558,718.11/1,146.77
  6. Step 6: Final answer
    x = 487.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.