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Finding the Fourth Proportional to 1,091.55, 1,637.34 and 311.57

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Solution

The fourth proportional to 1,091.55, 1,637.34 and 311.57 is: 467.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,091.55 : 1,637.34 = 311.57 : x
  2. Step 2: Convert to fraction form
    1,091.55/1,637.34 = 311.57/x
  3. Step 3: Cross multiply
    1,091.55x = 1,637.34 × 311.57
  4. Step 4: Simplify right side
    1,091.55x = 510,142.81
  5. Step 5: Solve for x
    x = 510,142.81/1,091.55
  6. Step 6: Final answer
    x = 467.35

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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.