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Finding the Fourth Proportional to 1,171.41, 1,757.08 and 305.72

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Solution

The fourth proportional to 1,171.41, 1,757.08 and 305.72 is: 458.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,171.41 : 1,757.08 = 305.72 : x
  2. Step 2: Convert to fraction form
    1,171.41/1,757.08 = 305.72/x
  3. Step 3: Cross multiply
    1,171.41x = 1,757.08 × 305.72
  4. Step 4: Simplify right side
    1,171.41x = 537,178.89
  5. Step 5: Solve for x
    x = 537,178.89/1,171.41
  6. Step 6: Final answer
    x = 458.57

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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.