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Finding the Fourth Proportional to 539.23, 803.72 and 508.48

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Solution

The fourth proportional to 539.23, 803.72 and 508.48 is: 757.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.23 : 803.72 = 508.48 : x
  2. Step 2: Convert to fraction form
    539.23/803.72 = 508.48/x
  3. Step 3: Cross multiply
    539.23x = 803.72 × 508.48
  4. Step 4: Simplify right side
    539.23x = 408,674.81
  5. Step 5: Solve for x
    x = 408,674.81/539.23
  6. Step 6: Final answer
    x = 757.88

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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.