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Finding the Fourth Proportional to 687.81, 950.37 and 541.60

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Solution

The fourth proportional to 687.81, 950.37 and 541.60 is: 748.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.81 : 950.37 = 541.60 : x
  2. Step 2: Convert to fraction form
    687.81/950.37 = 541.60/x
  3. Step 3: Cross multiply
    687.81x = 950.37 × 541.60
  4. Step 4: Simplify right side
    687.81x = 514,720.39
  5. Step 5: Solve for x
    x = 514,720.39/687.81
  6. Step 6: Final answer
    x = 748.35

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.