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Finding the Fourth Proportional to 602.62, 830.79 and 451.07

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Solution

The fourth proportional to 602.62, 830.79 and 451.07 is: 621.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.62 : 830.79 = 451.07 : x
  2. Step 2: Convert to fraction form
    602.62/830.79 = 451.07/x
  3. Step 3: Cross multiply
    602.62x = 830.79 × 451.07
  4. Step 4: Simplify right side
    602.62x = 374,741.98
  5. Step 5: Solve for x
    x = 374,741.98/602.62
  6. Step 6: Final answer
    x = 621.85

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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.