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Finding the Fourth Proportional to 540.99, 743.08 and 530.61

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Solution

The fourth proportional to 540.99, 743.08 and 530.61 is: 728.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.99 : 743.08 = 530.61 : x
  2. Step 2: Convert to fraction form
    540.99/743.08 = 530.61/x
  3. Step 3: Cross multiply
    540.99x = 743.08 × 530.61
  4. Step 4: Simplify right side
    540.99x = 394,286.74
  5. Step 5: Solve for x
    x = 394,286.74/540.99
  6. Step 6: Final answer
    x = 728.82

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.