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Finding the Fourth Proportional to 514.20, 709.34 and 337.08

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Solution

The fourth proportional to 514.20, 709.34 and 337.08 is: 465.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.20 : 709.34 = 337.08 : x
  2. Step 2: Convert to fraction form
    514.20/709.34 = 337.08/x
  3. Step 3: Cross multiply
    514.20x = 709.34 × 337.08
  4. Step 4: Simplify right side
    514.20x = 239,103.21
  5. Step 5: Solve for x
    x = 239,103.21/514.20
  6. Step 6: Final answer
    x = 465.00

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.