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Finding the Fourth Proportional to 539.34, 809.58 and 410.18

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Solution

The fourth proportional to 539.34, 809.58 and 410.18 is: 615.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    539.34 : 809.58 = 410.18 : x
  2. Step 2: Convert to fraction form
    539.34/809.58 = 410.18/x
  3. Step 3: Cross multiply
    539.34x = 809.58 × 410.18
  4. Step 4: Simplify right side
    539.34x = 332,069.48
  5. Step 5: Solve for x
    x = 332,069.48/539.34
  6. Step 6: Final answer
    x = 615.70

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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.