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Finding the Fourth Proportional to 602.28, 830.94 and 378.12

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Solution

The fourth proportional to 602.28, 830.94 and 378.12 is: 521.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.28 : 830.94 = 378.12 : x
  2. Step 2: Convert to fraction form
    602.28/830.94 = 378.12/x
  3. Step 3: Cross multiply
    602.28x = 830.94 × 378.12
  4. Step 4: Simplify right side
    602.28x = 314,195.03
  5. Step 5: Solve for x
    x = 314,195.03/602.28
  6. Step 6: Final answer
    x = 521.68

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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.