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Finding the Fourth Proportional to 540.04, 811 and 532.34

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Solution

The fourth proportional to 540.04, 811 and 532.34 is: 799.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.04 : 811 = 532.34 : x
  2. Step 2: Convert to fraction form
    540.04/811 = 532.34/x
  3. Step 3: Cross multiply
    540.04x = 811 × 532.34
  4. Step 4: Simplify right side
    540.04x = 431,727.74
  5. Step 5: Solve for x
    x = 431,727.74/540.04
  6. Step 6: Final answer
    x = 799.44

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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.