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Finding the Fourth Proportional to 601.40, 830.00 and 339.46

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Solution

The fourth proportional to 601.40, 830.00 and 339.46 is: 468.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.40 : 830.00 = 339.46 : x
  2. Step 2: Convert to fraction form
    601.40/830.00 = 339.46/x
  3. Step 3: Cross multiply
    601.40x = 830.00 × 339.46
  4. Step 4: Simplify right side
    601.40x = 281,748.03
  5. Step 5: Solve for x
    x = 281,748.03/601.40
  6. Step 6: Final answer
    x = 468.49

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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.