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Finding the Fourth Proportional to 540.68, 814.40 and 492.23

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Solution

The fourth proportional to 540.68, 814.40 and 492.23 is: 741.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.68 : 814.40 = 492.23 : x
  2. Step 2: Convert to fraction form
    540.68/814.40 = 492.23/x
  3. Step 3: Cross multiply
    540.68x = 814.40 × 492.23
  4. Step 4: Simplify right side
    540.68x = 400,871.72
  5. Step 5: Solve for x
    x = 400,871.72/540.68
  6. Step 6: Final answer
    x = 741.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.