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Finding the Fourth Proportional to 601.92, 830.38 and 425.14

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Solution

The fourth proportional to 601.92, 830.38 and 425.14 is: 586.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.92 : 830.38 = 425.14 : x
  2. Step 2: Convert to fraction form
    601.92/830.38 = 425.14/x
  3. Step 3: Cross multiply
    601.92x = 830.38 × 425.14
  4. Step 4: Simplify right side
    601.92x = 353,027.75
  5. Step 5: Solve for x
    x = 353,027.75/601.92
  6. Step 6: Final answer
    x = 586.50

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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.