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Finding the Fourth Proportional to 540.48, 814.04 and 502.46

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Solution

The fourth proportional to 540.48, 814.04 and 502.46 is: 756.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.48 : 814.04 = 502.46 : x
  2. Step 2: Convert to fraction form
    540.48/814.04 = 502.46/x
  3. Step 3: Cross multiply
    540.48x = 814.04 × 502.46
  4. Step 4: Simplify right side
    540.48x = 409,019.41
  5. Step 5: Solve for x
    x = 409,019.41/540.48
  6. Step 6: Final answer
    x = 756.77

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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.