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Finding the Fourth Proportional to 602.85, 830.97 and 406.02

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Solution

The fourth proportional to 602.85, 830.97 and 406.02 is: 559.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.85 : 830.97 = 406.02 : x
  2. Step 2: Convert to fraction form
    602.85/830.97 = 406.02/x
  3. Step 3: Cross multiply
    602.85x = 830.97 × 406.02
  4. Step 4: Simplify right side
    602.85x = 337,390.44
  5. Step 5: Solve for x
    x = 337,390.44/602.85
  6. Step 6: Final answer
    x = 559.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.