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Finding the Fourth Proportional to 539.62, 803.97 and 506.50

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Solution

The fourth proportional to 539.62, 803.97 and 506.50 is: 754.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.62 : 803.97 = 506.50 : x
  2. Step 2: Convert to fraction form
    539.62/803.97 = 506.50/x
  3. Step 3: Cross multiply
    539.62x = 803.97 × 506.50
  4. Step 4: Simplify right side
    539.62x = 407,210.81
  5. Step 5: Solve for x
    x = 407,210.81/539.62
  6. Step 6: Final answer
    x = 754.63

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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.