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Finding the Fourth Proportional to 539.93, 806.45 and 467.03

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Solution

The fourth proportional to 539.93, 806.45 and 467.03 is: 697.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.93 : 806.45 = 467.03 : x
  2. Step 2: Convert to fraction form
    539.93/806.45 = 467.03/x
  3. Step 3: Cross multiply
    539.93x = 806.45 × 467.03
  4. Step 4: Simplify right side
    539.93x = 376,636.02
  5. Step 5: Solve for x
    x = 376,636.02/539.93
  6. Step 6: Final answer
    x = 697.56

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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.