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Finding the Fourth Proportional to 601.92, 830.67 and 339.99

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Solution

The fourth proportional to 601.92, 830.67 and 339.99 is: 469.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.92 : 830.67 = 339.99 : x
  2. Step 2: Convert to fraction form
    601.92/830.67 = 339.99/x
  3. Step 3: Cross multiply
    601.92x = 830.67 × 339.99
  4. Step 4: Simplify right side
    601.92x = 282,419.49
  5. Step 5: Solve for x
    x = 282,419.49/601.92
  6. Step 6: Final answer
    x = 469.20

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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.