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Finding the Fourth Proportional to 540.70, 809.67 and 357.54

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Solution

The fourth proportional to 540.70, 809.67 and 357.54 is: 535.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.70 : 809.67 = 357.54 : x
  2. Step 2: Convert to fraction form
    540.70/809.67 = 357.54/x
  3. Step 3: Cross multiply
    540.70x = 809.67 × 357.54
  4. Step 4: Simplify right side
    540.70x = 289,489.41
  5. Step 5: Solve for x
    x = 289,489.41/540.70
  6. Step 6: Final answer
    x = 535.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.