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Finding the Fourth Proportional to 540.72, 812.30 and 387.04

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Solution

The fourth proportional to 540.72, 812.30 and 387.04 is: 581.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.72 : 812.30 = 387.04 : x
  2. Step 2: Convert to fraction form
    540.72/812.30 = 387.04/x
  3. Step 3: Cross multiply
    540.72x = 812.30 × 387.04
  4. Step 4: Simplify right side
    540.72x = 314,392.59
  5. Step 5: Solve for x
    x = 314,392.59/540.72
  6. Step 6: Final answer
    x = 581.43

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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.