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Finding the Fourth Proportional to 612.31, 844.66 and 415.88

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Solution

The fourth proportional to 612.31, 844.66 and 415.88 is: 573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    612.31 : 844.66 = 415.88 : x
  2. Step 2: Convert to fraction form
    612.31/844.66 = 415.88/x
  3. Step 3: Cross multiply
    612.31x = 844.66 × 415.88
  4. Step 4: Simplify right side
    612.31x = 351,277.20
  5. Step 5: Solve for x
    x = 351,277.20/612.31
  6. Step 6: Final answer
    x = 573.69

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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.