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Finding the Fourth Proportional to 540.84, 746.02 and 319.64

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Solution

The fourth proportional to 540.84, 746.02 and 319.64 is: 440.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.84 : 746.02 = 319.64 : x
  2. Step 2: Convert to fraction form
    540.84/746.02 = 319.64/x
  3. Step 3: Cross multiply
    540.84x = 746.02 × 319.64
  4. Step 4: Simplify right side
    540.84x = 238,455.70
  5. Step 5: Solve for x
    x = 238,455.70/540.84
  6. Step 6: Final answer
    x = 440.90

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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.