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Finding the Fourth Proportional to 512.89, 770.27 and 460.05

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Solution

The fourth proportional to 512.89, 770.27 and 460.05 is: 690.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    512.89 : 770.27 = 460.05 : x
  2. Step 2: Convert to fraction form
    512.89/770.27 = 460.05/x
  3. Step 3: Cross multiply
    512.89x = 770.27 × 460.05
  4. Step 4: Simplify right side
    512.89x = 354,362.71
  5. Step 5: Solve for x
    x = 354,362.71/512.89
  6. Step 6: Final answer
    x = 690.91

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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.