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Finding the Fourth Proportional to 601.92, 829.91 and 436.07

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Solution

The fourth proportional to 601.92, 829.91 and 436.07 is: 601.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.92 : 829.91 = 436.07 : x
  2. Step 2: Convert to fraction form
    601.92/829.91 = 436.07/x
  3. Step 3: Cross multiply
    601.92x = 829.91 × 436.07
  4. Step 4: Simplify right side
    601.92x = 361,898.85
  5. Step 5: Solve for x
    x = 361,898.85/601.92
  6. Step 6: Final answer
    x = 601.24

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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.