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Finding the Fourth Proportional to 601.14, 827.10 and 469.92

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Solution

The fourth proportional to 601.14, 827.10 and 469.92 is: 646.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.14 : 827.10 = 469.92 : x
  2. Step 2: Convert to fraction form
    601.14/827.10 = 469.92/x
  3. Step 3: Cross multiply
    601.14x = 827.10 × 469.92
  4. Step 4: Simplify right side
    601.14x = 388,670.83
  5. Step 5: Solve for x
    x = 388,670.83/601.14
  6. Step 6: Final answer
    x = 646.56

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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.