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Finding the Fourth Proportional to 536.80, 806.55 and 477.40

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Solution

The fourth proportional to 536.80, 806.55 and 477.40 is: 717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    536.80 : 806.55 = 477.40 : x
  2. Step 2: Convert to fraction form
    536.80/806.55 = 477.40/x
  3. Step 3: Cross multiply
    536.80x = 806.55 × 477.40
  4. Step 4: Simplify right side
    536.80x = 385,046.97
  5. Step 5: Solve for x
    x = 385,046.97/536.80
  6. Step 6: Final answer
    x = 717.30

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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.