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Finding the Fourth Proportional to 601.14, 829.98 and 380.22

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Solution

The fourth proportional to 601.14, 829.98 and 380.22 is: 524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.14 : 829.98 = 380.22 : x
  2. Step 2: Convert to fraction form
    601.14/829.98 = 380.22/x
  3. Step 3: Cross multiply
    601.14x = 829.98 × 380.22
  4. Step 4: Simplify right side
    601.14x = 315,575.00
  5. Step 5: Solve for x
    x = 315,575.00/601.14
  6. Step 6: Final answer
    x = 524.96

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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.