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Finding the Fourth Proportional to 602.07, 830.61 and 425.07

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Solution

The fourth proportional to 602.07, 830.61 and 425.07 is: 586.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.07 : 830.61 = 425.07 : x
  2. Step 2: Convert to fraction form
    602.07/830.61 = 425.07/x
  3. Step 3: Cross multiply
    602.07x = 830.61 × 425.07
  4. Step 4: Simplify right side
    602.07x = 353,067.39
  5. Step 5: Solve for x
    x = 353,067.39/602.07
  6. Step 6: Final answer
    x = 586.42

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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.