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Finding the Fourth Proportional to 601.30, 829.83 and 339.40

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Solution

The fourth proportional to 601.30, 829.83 and 339.40 is: 468.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.30 : 829.83 = 339.40 : x
  2. Step 2: Convert to fraction form
    601.30/829.83 = 339.40/x
  3. Step 3: Cross multiply
    601.30x = 829.83 × 339.40
  4. Step 4: Simplify right side
    601.30x = 281,644.30
  5. Step 5: Solve for x
    x = 281,644.30/601.30
  6. Step 6: Final answer
    x = 468.39

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1.5x scale

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.