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Finding the Fourth Proportional to 602.01, 829.67 and 491.13

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Solution

The fourth proportional to 602.01, 829.67 and 491.13 is: 676.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.01 : 829.67 = 491.13 : x
  2. Step 2: Convert to fraction form
    602.01/829.67 = 491.13/x
  3. Step 3: Cross multiply
    602.01x = 829.67 × 491.13
  4. Step 4: Simplify right side
    602.01x = 407,473.37
  5. Step 5: Solve for x
    x = 407,473.37/602.01
  6. Step 6: Final answer
    x = 676.85

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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.