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Finding the Fourth Proportional to 602.20, 830.86 and 353.53

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Solution

The fourth proportional to 602.20, 830.86 and 353.53 is: 487.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.20 : 830.86 = 353.53 : x
  2. Step 2: Convert to fraction form
    602.20/830.86 = 353.53/x
  3. Step 3: Cross multiply
    602.20x = 830.86 × 353.53
  4. Step 4: Simplify right side
    602.20x = 293,733.94
  5. Step 5: Solve for x
    x = 293,733.94/602.20
  6. Step 6: Final answer
    x = 487.77

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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.