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Finding the Fourth Proportional to 602.44, 830.94 and 405.64

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Solution

The fourth proportional to 602.44, 830.94 and 405.64 is: 559.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.44 : 830.94 = 405.64 : x
  2. Step 2: Convert to fraction form
    602.44/830.94 = 405.64/x
  3. Step 3: Cross multiply
    602.44x = 830.94 × 405.64
  4. Step 4: Simplify right side
    602.44x = 337,062.50
  5. Step 5: Solve for x
    x = 337,062.50/602.44
  6. Step 6: Final answer
    x = 559.50

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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.