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Finding the Fourth Proportional to 601.31, 829.83 and 365.18

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Solution

The fourth proportional to 601.31, 829.83 and 365.18 is: 503.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.31 : 829.83 = 365.18 : x
  2. Step 2: Convert to fraction form
    601.31/829.83 = 365.18/x
  3. Step 3: Cross multiply
    601.31x = 829.83 × 365.18
  4. Step 4: Simplify right side
    601.31x = 303,037.15
  5. Step 5: Solve for x
    x = 303,037.15/601.31
  6. Step 6: Final answer
    x = 503.96

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Double scale
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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.