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Finding the Fourth Proportional to 601.47, 830.62 and 415.44

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Solution

The fourth proportional to 601.47, 830.62 and 415.44 is: 573.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.47 : 830.62 = 415.44 : x
  2. Step 2: Convert to fraction form
    601.47/830.62 = 415.44/x
  3. Step 3: Cross multiply
    601.47x = 830.62 × 415.44
  4. Step 4: Simplify right side
    601.47x = 345,073.29
  5. Step 5: Solve for x
    x = 345,073.29/601.47
  6. Step 6: Final answer
    x = 573.72

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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.