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Finding the Fourth Proportional to 518.37, 781.13 and 429.08

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Solution

The fourth proportional to 518.37, 781.13 and 429.08 is: 646.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    518.37 : 781.13 = 429.08 : x
  2. Step 2: Convert to fraction form
    518.37/781.13 = 429.08/x
  3. Step 3: Cross multiply
    518.37x = 781.13 × 429.08
  4. Step 4: Simplify right side
    518.37x = 335,161.21
  5. Step 5: Solve for x
    x = 335,161.21/518.37
  6. Step 6: Final answer
    x = 646.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.