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Finding the Fourth Proportional to 1,157.72, 1,735.74 and 541.08

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Solution

The fourth proportional to 1,157.72, 1,735.74 and 541.08 is: 811.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157.72 : 1,735.74 = 541.08 : x
  2. Step 2: Convert to fraction form
    1,157.72/1,735.74 = 541.08/x
  3. Step 3: Cross multiply
    1,157.72x = 1,735.74 × 541.08
  4. Step 4: Simplify right side
    1,157.72x = 939,174.20
  5. Step 5: Solve for x
    x = 939,174.20/1,157.72
  6. Step 6: Final answer
    x = 811.23

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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.