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Finding the Fourth Proportional to 540.22, 806.32 and 478.66

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Solution

The fourth proportional to 540.22, 806.32 and 478.66 is: 714.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    540.22 : 806.32 = 478.66 : x
  2. Step 2: Convert to fraction form
    540.22/806.32 = 478.66/x
  3. Step 3: Cross multiply
    540.22x = 806.32 × 478.66
  4. Step 4: Simplify right side
    540.22x = 385,953.13
  5. Step 5: Solve for x
    x = 385,953.13/540.22
  6. Step 6: Final answer
    x = 714.44

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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.