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Finding the Fourth Proportional to 540, 808.64 and 442.27

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Solution

The fourth proportional to 540, 808.64 and 442.27 is: 662.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    540 : 808.64 = 442.27 : x
  2. Step 2: Convert to fraction form
    540/808.64 = 442.27/x
  3. Step 3: Cross multiply
    540x = 808.64 × 442.27
  4. Step 4: Simplify right side
    540x = 357,637.21
  5. Step 5: Solve for x
    x = 357,637.21/540
  6. Step 6: Final answer
    x = 662.29

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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.