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Finding the Fourth Proportional to 540.79, 746.09 and 319.66

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Solution

The fourth proportional to 540.79, 746.09 and 319.66 is: 441.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.79 : 746.09 = 319.66 : x
  2. Step 2: Convert to fraction form
    540.79/746.09 = 319.66/x
  3. Step 3: Cross multiply
    540.79x = 746.09 × 319.66
  4. Step 4: Simplify right side
    540.79x = 238,493.53
  5. Step 5: Solve for x
    x = 238,493.53/540.79
  6. Step 6: Final answer
    x = 441.01

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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.