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Finding the Fourth Proportional to 537.72, 806.10 and 457.08

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Solution

The fourth proportional to 537.72, 806.10 and 457.08 is: 685.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.72 : 806.10 = 457.08 : x
  2. Step 2: Convert to fraction form
    537.72/806.10 = 457.08/x
  3. Step 3: Cross multiply
    537.72x = 806.10 × 457.08
  4. Step 4: Simplify right side
    537.72x = 368,452.19
  5. Step 5: Solve for x
    x = 368,452.19/537.72
  6. Step 6: Final answer
    x = 685.21

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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.