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Finding the Fourth Proportional to 1,541.36, 2,311.68 and 760.56

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Solution

The fourth proportional to 1,541.36, 2,311.68 and 760.56 is: 1,140.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,541.36 : 2,311.68 = 760.56 : x
  2. Step 2: Convert to fraction form
    1,541.36/2,311.68 = 760.56/x
  3. Step 3: Cross multiply
    1,541.36x = 2,311.68 × 760.56
  4. Step 4: Simplify right side
    1,541.36x = 1,758,171.34
  5. Step 5: Solve for x
    x = 1,758,171.34/1,541.36
  6. Step 6: Final answer
    x = 1,140.66

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1.5x scale

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.