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Finding the Fourth Proportional to 602.18, 829.71 and 405.35

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Solution

The fourth proportional to 602.18, 829.71 and 405.35 is: 558.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.18 : 829.71 = 405.35 : x
  2. Step 2: Convert to fraction form
    602.18/829.71 = 405.35/x
  3. Step 3: Cross multiply
    602.18x = 829.71 × 405.35
  4. Step 4: Simplify right side
    602.18x = 336,318.80
  5. Step 5: Solve for x
    x = 336,318.80/602.18
  6. Step 6: Final answer
    x = 558.51

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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.