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Finding the Fourth Proportional to 602.28, 830.08 and 425.28

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Solution

The fourth proportional to 602.28, 830.08 and 425.28 is: 586.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.28 : 830.08 = 425.28 : x
  2. Step 2: Convert to fraction form
    602.28/830.08 = 425.28/x
  3. Step 3: Cross multiply
    602.28x = 830.08 × 425.28
  4. Step 4: Simplify right side
    602.28x = 353,016.42
  5. Step 5: Solve for x
    x = 353,016.42/602.28
  6. Step 6: Final answer
    x = 586.13

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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.