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Finding the Fourth Proportional to 540.14, 743.46 and 478.22

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Solution

The fourth proportional to 540.14, 743.46 and 478.22 is: 658.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.14 : 743.46 = 478.22 : x
  2. Step 2: Convert to fraction form
    540.14/743.46 = 478.22/x
  3. Step 3: Cross multiply
    540.14x = 743.46 × 478.22
  4. Step 4: Simplify right side
    540.14x = 355,537.51
  5. Step 5: Solve for x
    x = 355,537.51/540.14
  6. Step 6: Final answer
    x = 658.23

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1.5x scale

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.