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Finding the Fourth Proportional to 540.72, 807.48 and 523.98

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Solution

The fourth proportional to 540.72, 807.48 and 523.98 is: 782.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.72 : 807.48 = 523.98 : x
  2. Step 2: Convert to fraction form
    540.72/807.48 = 523.98/x
  3. Step 3: Cross multiply
    540.72x = 807.48 × 523.98
  4. Step 4: Simplify right side
    540.72x = 423,103.37
  5. Step 5: Solve for x
    x = 423,103.37/540.72
  6. Step 6: Final answer
    x = 782.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.