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Finding the Fourth Proportional to 515.23, 771.93 and 429.11

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Solution

The fourth proportional to 515.23, 771.93 and 429.11 is: 642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.23 : 771.93 = 429.11 : x
  2. Step 2: Convert to fraction form
    515.23/771.93 = 429.11/x
  3. Step 3: Cross multiply
    515.23x = 771.93 × 429.11
  4. Step 4: Simplify right side
    515.23x = 331,242.88
  5. Step 5: Solve for x
    x = 331,242.88/515.23
  6. Step 6: Final answer
    x = 642.91

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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.