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Finding the Fourth Proportional to 601.57, 829.36 and 477.64

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Solution

The fourth proportional to 601.57, 829.36 and 477.64 is: 658.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.57 : 829.36 = 477.64 : x
  2. Step 2: Convert to fraction form
    601.57/829.36 = 477.64/x
  3. Step 3: Cross multiply
    601.57x = 829.36 × 477.64
  4. Step 4: Simplify right side
    601.57x = 396,134.03
  5. Step 5: Solve for x
    x = 396,134.03/601.57
  6. Step 6: Final answer
    x = 658.50

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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.