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Finding the Fourth Proportional to 601.69, 830.34 and 339.71

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Solution

The fourth proportional to 601.69, 830.34 and 339.71 is: 468.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.69 : 830.34 = 339.71 : x
  2. Step 2: Convert to fraction form
    601.69/830.34 = 339.71/x
  3. Step 3: Cross multiply
    601.69x = 830.34 × 339.71
  4. Step 4: Simplify right side
    601.69x = 282,071.92
  5. Step 5: Solve for x
    x = 282,071.92/601.69
  6. Step 6: Final answer
    x = 468.80

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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.