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Finding the Fourth Proportional to 602.58, 830.82 and 405.75

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Solution

The fourth proportional to 602.58, 830.82 and 405.75 is: 559.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.58 : 830.82 = 405.75 : x
  2. Step 2: Convert to fraction form
    602.58/830.82 = 405.75/x
  3. Step 3: Cross multiply
    602.58x = 830.82 × 405.75
  4. Step 4: Simplify right side
    602.58x = 337,105.22
  5. Step 5: Solve for x
    x = 337,105.22/602.58
  6. Step 6: Final answer
    x = 559.44

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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.