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Finding the Fourth Proportional to 601.85, 829.59 and 405.02

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Solution

The fourth proportional to 601.85, 829.59 and 405.02 is: 558.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.85 : 829.59 = 405.02 : x
  2. Step 2: Convert to fraction form
    601.85/829.59 = 405.02/x
  3. Step 3: Cross multiply
    601.85x = 829.59 × 405.02
  4. Step 4: Simplify right side
    601.85x = 335,998.71
  5. Step 5: Solve for x
    x = 335,998.71/601.85
  6. Step 6: Final answer
    x = 558.28

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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.