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Finding the Fourth Proportional to 601.57, 830.11 and 444.28

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Solution

The fourth proportional to 601.57, 830.11 and 444.28 is: 613.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.57 : 830.11 = 444.28 : x
  2. Step 2: Convert to fraction form
    601.57/830.11 = 444.28/x
  3. Step 3: Cross multiply
    601.57x = 830.11 × 444.28
  4. Step 4: Simplify right side
    601.57x = 368,801.27
  5. Step 5: Solve for x
    x = 368,801.27/601.57
  6. Step 6: Final answer
    x = 613.06

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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.