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Finding the Fourth Proportional to 602.25, 830.96 and 353.56

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Solution

The fourth proportional to 602.25, 830.96 and 353.56 is: 487.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.25 : 830.96 = 353.56 : x
  2. Step 2: Convert to fraction form
    602.25/830.96 = 353.56/x
  3. Step 3: Cross multiply
    602.25x = 830.96 × 353.56
  4. Step 4: Simplify right side
    602.25x = 293,790.06
  5. Step 5: Solve for x
    x = 293,790.06/602.25
  6. Step 6: Final answer
    x = 487.82

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1.5x scale

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.