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Finding the Fourth Proportional to 529.98, 794.29 and 415.16

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Solution

The fourth proportional to 529.98, 794.29 and 415.16 is: 622.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    529.98 : 794.29 = 415.16 : x
  2. Step 2: Convert to fraction form
    529.98/794.29 = 415.16/x
  3. Step 3: Cross multiply
    529.98x = 794.29 × 415.16
  4. Step 4: Simplify right side
    529.98x = 329,757.44
  5. Step 5: Solve for x
    x = 329,757.44/529.98
  6. Step 6: Final answer
    x = 622.21

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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.