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Finding the Fourth Proportional to 514.13, 770.72 and 205.93

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Solution

The fourth proportional to 514.13, 770.72 and 205.93 is: 308.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    514.13 : 770.72 = 205.93 : x
  2. Step 2: Convert to fraction form
    514.13/770.72 = 205.93/x
  3. Step 3: Cross multiply
    514.13x = 770.72 × 205.93
  4. Step 4: Simplify right side
    514.13x = 158,714.37
  5. Step 5: Solve for x
    x = 158,714.37/514.13
  6. Step 6: Final answer
    x = 308.70

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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.