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Finding the Fourth Proportional to 514.18, 709.77 and 339.46

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Solution

The fourth proportional to 514.18, 709.77 and 339.46 is: 468.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.18 : 709.77 = 339.46 : x
  2. Step 2: Convert to fraction form
    514.18/709.77 = 339.46/x
  3. Step 3: Cross multiply
    514.18x = 709.77 × 339.46
  4. Step 4: Simplify right side
    514.18x = 240,938.52
  5. Step 5: Solve for x
    x = 240,938.52/514.18
  6. Step 6: Final answer
    x = 468.59

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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.