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Finding the Fourth Proportional to 601.89, 830.84 and 405.98

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Solution

The fourth proportional to 601.89, 830.84 and 405.98 is: 560.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.89 : 830.84 = 405.98 : x
  2. Step 2: Convert to fraction form
    601.89/830.84 = 405.98/x
  3. Step 3: Cross multiply
    601.89x = 830.84 × 405.98
  4. Step 4: Simplify right side
    601.89x = 337,304.42
  5. Step 5: Solve for x
    x = 337,304.42/601.89
  6. Step 6: Final answer
    x = 560.41

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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.